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Articles de revues sur le sujet « Drinfeld twist »

Auteur : Grafiati

Publié le 2 juin 2025

Mis à jour le 31 juillet 2025

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1

Meljanac, D., S. Meljanac, Z. Škoda, and R. Štrajn. "On interpolations between Jordanian twists." International Journal of Modern Physics A 35, no. 26 (2020): 2050160. http://dx.doi.org/10.1142/s0217751x20501602.

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We consider two families of Drinfeld twists generated from a simple Jordanian twist further twisted with 1-cochains. Using combinatorial identities, they are presented as a series expansion in the dilatation and momentum generators. These twists interpolate between two simple Jordanian twists. For an expansion of a family of twists [Formula: see text], we also show directly that the 2-cocycle condition reduces to previously proven identities.

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Meljanac, Daniel, Stjepan Meljanac, Zoran Škoda, and Rina Štrajn. "Interpolations between Jordanian twists, the Poincaré–Weyl algebra and dispersion relations." International Journal of Modern Physics A 35, no. 08 (2020): 2050034. http://dx.doi.org/10.1142/s0217751x20500347.

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We consider a two-parameter family of Drinfeld twists generated from a simple Jordanian twist further twisted by 1-cochains. Twists from this family interpolate between two simple Jordanian twists. Relations between them are constructed and discussed. It is proved that there exists a one-parameter family of twists identical to a simple Jordanian twist. The twisted coalgebra, star product and coordinate realizations of the [Formula: see text]-Minkowski noncommutative space–time are presented. Real forms of Jordanian deformations are also discussed. The method of similarity transformations is ap

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3

Škoda, Zoran, and Martina Stojić. "Comment on ‘Twisted bialgebroids versus bialgebroids from a Drinfeld twist’." Journal of Physics A: Mathematical and Theoretical 57, no. 10 (2024): 108001. http://dx.doi.org/10.1088/1751-8121/ad279d.

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Abstract A class of left bialgebroids whose underlying algebra A ♯ H is a smash product of a bialgebra H with a braided commutative Yetter–Drinfeld H-algebra A has recently been studied in relation to models of field theories on noncommutative spaces. In Borowiec and Pachoł (2017 J. Phys. A: Math. Theor. 50 055205) a proof has been presented that the bialgebroid A F ♯ H F where HF and AF are the twists of H and A by a Drinfeld 2-cocycle F = ∑ F 1 ⊗ F 2 is isomorphic to the twist of bialgebroid A ♯ H by the bialgebroid 2-cocycle ∑ 1 ♯ F 1 ⊗ 1 ♯ F 2 induced by F. They assume H is quasitriangular

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4

Aschieri, Paolo. "Deformation quantization of principal bundles." International Journal of Geometric Methods in Modern Physics 13, no. 08 (2016): 1630010. http://dx.doi.org/10.1142/s0219887816300105.

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We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles and, more in general, to the deformation of Hopf–Galois extensions. First, we twist deform the structure group in a quantum group, and this leads to a deformation of the fibers of the principal bundle. Next, we twist deform a subgroup of the group of automorphisms of the principal bundle, and this leads to a noncommutative base space. Considering both deformations, we obtain noncommutative principal bundles with noncommutative fiber and

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5

Kürkçüoglu, Seçkin, and Christian Sämann. "Drinfeld twist and general relativity with fuzzy spaces." Classical and Quantum Gravity 24, no. 2 (2006): 291–311. http://dx.doi.org/10.1088/0264-9381/24/2/003.

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6

Aschieri, Paolo, and Alexander Schenkel. "Noncommutative connections on bimodules and Drinfeld twist deformation." Advances in Theoretical and Mathematical Physics 18, no. 3 (2014): 513–612. http://dx.doi.org/10.4310/atmp.2014.v18.n3.a1.

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7

Borowiec, Andrzej, and Anna Pachoł. "Twisted bialgebroids versus bialgebroids from a Drinfeld twist." Journal of Physics A: Mathematical and Theoretical 50, no. 5 (2017): 055205. http://dx.doi.org/10.1088/1751-8121/50/5/055205.

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8

Meljanac, Stjepan, Zoran Škoda, and Saša Krešić–Jurić. "Symmetric ordering and Weyl realizations for quantum Minkowski spaces." Journal of Mathematical Physics 63, no. 12 (2022): 123508. http://dx.doi.org/10.1063/5.0094443.

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Symmetric ordering and Weyl realizations for non-commutative quantum Minkowski spaces are reviewed. Weyl realizations of Lie deformed spaces and corresponding star products, as well as twist corresponding to Weyl realization and coproduct of momenta, are presented. Drinfeld twists understood in Hopf algebroid sense are also discussed. A few examples of corresponding Weyl realizations are given. We show that for the original Snyder space, there exists symmetric ordering but no Weyl realization. Quadratic deformations of Minkowski space are considered, and it is demonstrated that symmetric order

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9

Zhang, Yu, and Xiaomin Tang. "Quantization of a Class of Super W-Agebras." Algebra Colloquium 29, no. 04 (2022): 633–42. http://dx.doi.org/10.1142/s100538672200044x.

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We study a class of super W-algebras whose even part is the Virasoro type Lie algebra [Formula: see text]. We quantize the Lie superbialgebra of the super W-algebra by the Drinfeld twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.

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10

Yang, Yu, and Xingtao Wang. "Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra." Axioms 14, no. 1 (2024): 7. https://doi.org/10.3390/axioms14010007.

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In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary. We also quantize W(Γ) using the Drinfeld-twist quantization technique and identify a group of noncommutative algebras and noncocommutative Hopf algebras.

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11

CHRYSSOMALAKOS, CHRYSSOMALIS. "DRINFELD TWIST FOR QUANTUM su(2) IN THE ADJOINT REPRESENTATION." Modern Physics Letters A 13, no. 27 (1998): 2213–26. http://dx.doi.org/10.1142/s0217732398002369.

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We give a detailed description of the adjoint representation of Drinfeld's twist element, as well as its coproduct, for su q(2). We also discuss, as applications, the computation of the universal R-matrix in this representation and the problem of symmetrization of identical-particle states with quantum su(2) symmetry.

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12

Jurić, Tajron, Stjepan Meljanac та Andjelo Samsarov. "Light-likeκ-deformations and scalar field theory via Drinfeld twist". Journal of Physics: Conference Series 634 (3 серпня 2015): 012005. http://dx.doi.org/10.1088/1742-6596/634/1/012005.

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13

Herceg, Nikola, Tajron Jurić, Andjelo Samsarov, and Ivica Smolić. "Towards gravitational QNM spectrum from quantum spacetime." Journal of Physics: Conference Series 2667, no. 1 (2023): 012074. http://dx.doi.org/10.1088/1742-6596/2667/1/012074.

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Abstract The effective potential for the axial mode of gravitational wave on noncommutative Schwarzschild background is presented. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a semi-Killing Drinfeld twist. The analysis is performed up to the first order in perturbation of the metric and noncommutativity parameter. This results in a modified Regge-Wheeler potential with the strongest differences in comparison to the classical Regge-Wheeler potential being near the horizon.

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14

Hao, Kun, Xi Chen, Kang-Jie Shi, and Wen-Li Yang. "Drinfeld twist and the domain wall partition function of the eight-vertex model." Chinese Physics B 20, no. 1 (2011): 010303. http://dx.doi.org/10.1088/1674-1056/20/1/010303.

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15

Lukierski, Jerzy. "Palatial Twistors from Quantum Inhomogeneous Conformal Symmetries and Twistorial DSR Algebras." Symmetry 13, no. 8 (2021): 1309. http://dx.doi.org/10.3390/sym13081309.

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We construct recently introduced palatial NC twistors by considering the pair of conjugated (Born-dual) twist-deformed D=4 quantum inhomogeneous conformal Hopf algebras Uθ(su(2,2)⋉T4) and Uθ¯(su(2,2)⋉T¯4), where T4 describes complex twistor coordinates and T¯4 the conjugated dual twistor momenta. The palatial twistors are suitably chosen as the quantum-covariant modules (NC representations) of the introduced Born-dual Hopf algebras. Subsequently, we introduce the quantum deformations of D=4 Heisenberg-conformal algebra (HCA) su(2,2)⋉Hℏ4,4 (Hℏ4,4=T¯4⋉ℏT4 is the Heisenberg algebra of twistorial

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16

Jurić, Tajron, and Filip Požar. "Noncommutative Correction to the Entropy of Charged BTZ Black Hole." Symmetry 15, no. 2 (2023): 417. http://dx.doi.org/10.3390/sym15020417.

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Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outlined the formalism of Hopf algebras and its connection to the algebra of infinitesimal diffeomorphisms. Using a Drinfeld twist, we deformed spacetime symmetries, algebra of vector fields and differential forms, leading to a formulation of noncommutative Einstein equations. We studied a concrete example of charged BTZ spacetime and deformations steaming from the so-called angular twist. The entropy of the noncommutative charged BTZ black hole was obtained using the brick-wall met

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17

Chen, Xi, Jun Feng, Kun Hao, et al. "Drinfeld Twist and Symmetric Bethe Vectors of Open XYZ Chain with Non-Diagonal Boundary Terms." Communications in Theoretical Physics 57, no. 1 (2012): 19–28. http://dx.doi.org/10.1088/0253-6102/57/1/05.

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18

LUKIERSKI, J., V. D. LYAKHOVSKY та M. MOZRZYMAS. "κ-DEFORMATIONS OF D = 3 CONFORMAL VERSUS DEFORMATIONS OF D = 4 AdS SYMMETRIES". Modern Physics Letters A 18, № 11 (2003): 753–69. http://dx.doi.org/10.1142/s0217732303009873.

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We describe the classical o(3,2)r-matrices as generating the quantum deformations of either D = 3 conformal algebra with mass-like deformation parameters or D = 4 AdS algebra with dimensionless deformation parameters. We describe the quantization of classical o(3,2)r-matrices via Drinfeld twist method which locates the deformation in the coalgebra sector. Further we obtain the quantum o(3,2) algebra in a convenient Hopf algebra form by considering suitable deformation maps from classical to deformed o(3,2) algebra basis. It appears that if we pass from κ-deformed D = 3 conformal algebra basis,

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19

KUZNETSOVA, Z., M. ROJAS, and F. TOPPAN. "ON SUPERGROUPS WITH ODD CLIFFORD PARAMETERS AND SUPERSYMMETRY WITH MODIFIED LEIBNIZ RULE." International Journal of Modern Physics A 23, no. 02 (2008): 309–26. http://dx.doi.org/10.1142/s0217751x08038159.

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We investigate supergroups with Grassmann parameters replaced by odd Clifford parameters. The connection with nonanticommutative supersymmetry is discussed. A Berezin-like calculus for odd Clifford variables is introduced. Fermionic covariant derivatives for supergroups with odd Clifford variables are derived. Applications to supersymmetric quantum mechanics are made. Deformations of the original supersymmetric theories are encountered when the fermionic covariant derivatives do not obey the graded Leibniz property. The simplest nontrivial example is given by the N = 2 supersymmetric quantum m

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20

ABDESSELAM, B., A. CHAKRABARTI, and R. CHAKRABARTI. "TOWARDS A GENERAL CONSTRUCTION OF NONSTANDARD Rh-MATRICES AS CONTRACTION LIMITS OF Rq-MATRICES: THE ${\mathcal U}_h ({\rm sl}(N))$ ALGEBRA CASE." Modern Physics Letters A 13, no. 10 (1998): 779–90. http://dx.doi.org/10.1142/s021773239800084x.

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A class of transformations of Rq-matrices is introduced such that the q→1 limit gives explicit nonstandard Rh-matrices. The transformation matrix is singular as q→1. For the transformed matrix, the singularities, however, cancel yielding a well-defined construction. Our method can be implemented systematically on Rq-matrices of all dimensions and not only for q-deformed sl(2) algebra but also for algebras of higher dimensions. Explicit constructions are presented starting with [Formula: see text] and [Formula: see text], while choosing Rq for (fund. rep.) ⊗ (arbitrary irresp.). The treatment f

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21

Runkel, Ingo. "String-net models for nonspherical pivotal fusion categories." Journal of Knot Theory and Its Ramifications 29, no. 06 (2020): 2050035. http://dx.doi.org/10.1142/s0218216520500352.

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A string-net model associates a vector space to a surface in terms of graphs decorated by objects and morphisms of a pivotal fusion category modulo local relations. String-net models are usually considered for spherical fusion categories, and in this case, the vector spaces agree with the state spaces of the corresponding Turaev–Viro topological quantum field theory. In the present work, some effects of dropping the sphericality condition are investigated. In one example of nonspherical pivotal fusion categories, the string-net space counts the number of [Formula: see text]-spin structures on

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22

Castro, P. G., R. Kullock, and F. Toppan. "Drinfel'd twist and Noncommutative oscillators." Journal of Physics: Conference Series 343 (February 8, 2012): 012061. http://dx.doi.org/10.1088/1742-6596/343/1/012061.

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23

KAUFMANN, RALPH M., and DAVID PHAM. "THE DRINFEL'D DOUBLE AND TWISTING IN STRINGY ORBIFOLD THEORY." International Journal of Mathematics 20, no. 05 (2009): 623–57. http://dx.doi.org/10.1142/s0129167x09005431.

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This paper exposes the fundamental role that the Drinfel'd double D(k[G]) of the group ring of a finite group G and its twists Dβ(k[G]), β ∈ Z3(G,k*) as defined by Dijkgraaf–Pasquier–Roche play in stringy orbifold theories and their twistings. The results pertain to three different aspects of the theory. First, we show that G-Frobenius algebras arising in global orbifold cohomology or K-theory are most naturally defined as elements in the braided category of D(k[G])-modules. Secondly, we obtain a geometric realization of the Drinfel'd double as the global orbifold K-theory of global quotient g

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24

Zhang, Xiaohui, Wei Wang, and Xiaofan Zhao. "Drinfeld twists for monoidal Hom-bialgebras." Colloquium Mathematicum 156, no. 2 (2019): 199–228. http://dx.doi.org/10.4064/cm7359-4-2018.

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25

Benkart, Georgia, Mariana Pereira, and Sarah Witherspoon. "Yetter–Drinfeld modules under cocycle twists." Journal of Algebra 324, no. 11 (2010): 2990–3006. http://dx.doi.org/10.1016/j.jalgebra.2009.10.001.

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26

Yang, Yu, and Xing Tao Wang. "Quantization of the Super-BMS3 Algebra." Advances in Mathematical Physics 2022 (July 14, 2022): 1–6. http://dx.doi.org/10.1155/2022/7903581.

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In this article, we study quantization of super-BM S 3 algebra W . We quantize W by the Drinfel’d twist quantization technique and obtain a class of noncommutative and noncocommutative Hopf superalgebras.

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27

Grewcoe, Clay James, Larisa Jonke, Toni Kodžoman, and George Manolakos. "From Hopf Algebra to Braided L∞-Algebra." Universe 8, no. 4 (2022): 222. http://dx.doi.org/10.3390/universe8040222.

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We show that an L∞-algebra can be extended to a graded Hopf algebra with a codifferential. Then, we twist this extended L∞-algebra with a Drinfel’d twist, simultaneously twisting its modules. Taking the L∞-algebra as its own (Hopf) module, we obtain the recently proposed braided L∞-algebra. The Hopf algebra morphisms are identified with the strict L∞-morphisms, whereas the braided L∞-morphisms define a more general L∞-action of twisted L∞-algebras.

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28

Blohmann, Christian. "Reconstruction of universal Drinfeld twists from representations." Journal of Mathematical Physics 46, no. 5 (2005): 053519. http://dx.doi.org/10.1063/1.1901344.

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29

Yang, Hengyun. "Drinfel'd Twist Deformations of the Super-Virasoro Algebras." Communications in Algebra 41, no. 2 (2013): 507–19. http://dx.doi.org/10.1080/00927872.2011.590564.

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30

Yang, Tao, Zhi Chen, and Xiaoyan Zhou. "Notes on Drinfeld twists of multiplier Hopf algebras." Colloquium Mathematicum 157, no. 2 (2019): 279–93. http://dx.doi.org/10.4064/cm7545-8-2018.

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31

Schnitzer, Jonas. "Characteristic (Fedosov-)class of a twist constructed by Drinfel’d." Letters in Mathematical Physics 110, no. 9 (2020): 2353–61. http://dx.doi.org/10.1007/s11005-020-01291-z.

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32

Doikou, Anastasia. "Set-theoretic Yang–Baxter equation, braces and Drinfeld twists." Journal of Physics A: Mathematical and Theoretical 54, no. 41 (2021): 415201. http://dx.doi.org/10.1088/1751-8121/ac219e.

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33

Koch, Florian. "From Starproducts to Drinfeld-Twists: Present and Future Applications." Progress of Theoretical Physics Supplement 171 (2007): 42–53. http://dx.doi.org/10.1143/ptps.171.42.

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34

Yang, Wen-Li, Yao-Zhong Zhang, and Shao-You Zhao. "Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetrict-JModel." Journal of High Energy Physics 2004, no. 12 (2004): 038. http://dx.doi.org/10.1088/1126-6708/2004/12/038.

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35

Zhao, Shao-You, Wen-Li Yang, and Yao-Zhong Zhang. "Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models." Journal of Statistical Mechanics: Theory and Experiment 2005, no. 04 (2005): P04005. http://dx.doi.org/10.1088/1742-5468/2005/04/p04005.

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36

Chen, Xue. "Quantization of the Rank Two Heisenberg–Virasoro Algebra." Axioms 13, no. 7 (2024): 446. http://dx.doi.org/10.3390/axioms13070446.

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Quantum groups occupy a significant position in both mathematics and physics, contributing to progress in these fields. It is interesting to obtain new quantum groups by the quantization of Lie bialgebras. In this paper, the quantization of the rank two Heisenberg–Virasoro algebra by Drinfel’d twists is presented, Lie bialgebra structures of which have been investigated by the authors recently.

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37

Blohmann, Christian. "Covariant realization of quantum spaces as star products by Drinfeld twists." Journal of Mathematical Physics 44, no. 10 (2003): 4736. http://dx.doi.org/10.1063/1.1602553.

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38

FIORE, GAETANO. "DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE." Reviews in Mathematical Physics 12, no. 03 (2000): 327–59. http://dx.doi.org/10.1142/s0129055x00000125.

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Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. q-deformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group Uhg, q:=eh. We present a systematic procedure for determining all possible corresponding changes of generators, together with the corresponding realizations of the Uhg-action. The intriguing relation between g-invariants and Uhg-invariants suggests that these changes of generators might be e

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39

Yang, Wen-Li, and Yao-Zhong Zhang. "Drinfeld twists of the open XXZ chain with non-diagonal boundary terms." Nuclear Physics B 831, no. 3 (2010): 408–28. http://dx.doi.org/10.1016/j.nuclphysb.2010.01.001.

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Esposito, Chiara, Jonas Schnitzer, and Stefan Waldmann. "A universal construction of universal deformation formulas, Drinfeld twists and their positivity." Pacific Journal of Mathematics 291, no. 2 (2017): 319–58. http://dx.doi.org/10.2140/pjm.2017.291.319.

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BALACHANDRAN, A. P., and M. MARTONE. "SPACETIME FROM SYMMETRY: THE MOYAL PLANE FROM THE POINCARÉ–HOPF ALGEBRA." Modern Physics Letters A 24, no. 23 (2009): 1811–21. http://dx.doi.org/10.1142/s0217732309031144.

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We show how to get a noncommutative product for functions on spacetime starting from the deformation of the coproduct of the Poincaré group using the Drinfel'd twist. Thus it is easy to see that the commutative algebra of functions on spacetime (ℝ4) can be identified as the set of functions on the Poincaré group invariant under the right action of the Lorentz group provided we use the standard coproduct for the Poincaré group. We obtain our results for the noncommutative Moyal plane by generalizing this result to the case of the twisted coproduct. This extension is not trivial and involves coh

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42

Tong, Zhaojia, and Naihong Hu. "Modular quantizations of Lie algebras of Cartan type K via Drinfeld twists of Jordanian type." Journal of Algebra 450 (March 2016): 102–51. http://dx.doi.org/10.1016/j.jalgebra.2015.10.016.

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43

Yang, Wen-Li, Yao-Zhong Zhang, and Shao-You Zhao. "Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric Model Associated with Uq(gl(m|n))." Communications in Mathematical Physics 264, no. 1 (2006): 87–114. http://dx.doi.org/10.1007/s00220-005-1513-4.

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44

BALACHANDRAN, A. P., та S. G. JO. "Z0 →2γ AND THE TWISTED COPRODUCT OF THE POINCARÉ GROUP". International Journal of Modern Physics A 22, № 32 (2007): 6133–46. http://dx.doi.org/10.1142/s0217751x07038426.

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Yang's theorem forbids the process Z0 →2γ in any Poincaré invariant theory if photons are bosons and their two-particle states transform under the Poincaré group in the standard way (under the standard coproduct of the Poincaré group). This is an important result as it does not depend on the assumptions of quantum field theory. Recent work on noncommutative geometry requires deforming the above coproduct by the Drinfel'd twist. We prove that Z0 →2γ is forbidden for the twisted coproduct as well. This result is also independent of the assumptions of quantum field theory. As an illustration of t

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45

van Tongeren, Stijn, and Yannik Zimmermann. "Do Drinfeld twists of $AdS_5 \times S^5$ survive light-cone quantization?" SciPost Physics Core 5, no. 2 (2022). http://dx.doi.org/10.21468/scipostphyscore.5.2.028.

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We study how a wide class of Abelian Yang-Baxter deformations of the AdS_5 \times S^5AdS5×S5 string behave at the quantum level. These deformations are equivalent to TsT transformations and conjectured to be dual to beta, dipole, and noncommutative deformations of SYM. Classically they correspond to Drinfeld twists of the original theory. To verify this expectation at the quantum level we compute and match (1) the bosonic two-body tree-level worldsheet scattering matrix of these deformations in the uniform light-cone gauge, and (2) the Bethe equations of the equivalent model with twisted bound

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Smirnov, Andrey. "Degenerate Sklyanin algebras." Open Physics 8, no. 4 (2010). http://dx.doi.org/10.2478/s11534-009-0142-5.

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AbstractNew trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2;?). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special limits of the Sklyanin algebra. A representation for these algebras by the difference operators is found. The sl(N;?)-case is discussed.

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Bertle, Hanno, Elli Pomoni, Xinyu Zhang, and Konstantinos Zoubos. "Hidden symmetries of 4D $$ \mathcal{N} $$ = 2 gauge theories." Journal of High Energy Physics 2025, no. 2 (2025). https://doi.org/10.1007/jhep02(2025)205.

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Abstract We study the global symmetries of the ℤ 2-orbifold of $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory and its marginal deformations. The process of orbifolding to obtain an $$ \mathcal{N} $$ N = 2 theory would appear to break the SU(4) R-symmetry down to SU(2) × SU(2) × U(1). We show that the broken generators can be recovered by moving beyond the Lie algebraic setting to that of a Lie algebroid. This remains true when marginally deforming away from the orbifold point by allowing the couplings of the SU(N) × SU(N) gauge groups to vary independently. The information about the marginal

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Gupta, Kumar S., Tajron Jurić, Andjelo Samsarov, and Ivica Smolić. "Noncommutativity and logarithmic correction to the black hole entropy." Journal of High Energy Physics 2023, no. 2 (2023). http://dx.doi.org/10.1007/jhep02(2023)060.

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Abstract We study the noncommutative corrections to the entropy of the Reissner-Nordström black hole using a κ-deformed scalar probe within the brick-wall framework. The noncommutativity is encoded in an Abelian Drinfeld twist constructed from the Killing vector fields of the Reissner-Nordström black hole. We show that the noncommutative effects naturally lead to a logarithmic correction to the Bekenstein-Hawking entropy even at the lowest order of the WKB approximation. In contrast, such logarithmic corrections in the commutative setup appear only after the quantum effects are included throug

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Brubaker, Ben, Valentin Buciumas, Daniel Bump, and Henrik P. A. Gustafsson. "Colored vertex models and Iwahori Whittaker functions." Selecta Mathematica 30, no. 4 (2024). http://dx.doi.org/10.1007/s00029-024-00950-6.

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AbstractWe give a recursive method for computing all values of a basis of Whittaker functions for unramified principal series invariant under an Iwahori or parahoric subgroup of a split reductive group G over a nonarchimedean local field F. Structures in the proof have surprising analogies to features of certain solvable lattice models. In the case $$G=\textrm{GL}_r$$ G = GL r we show that there exist solvable lattice models whose partition functions give precisely all of these values. Here ‘solvable’ means that the models have a family of Yang–Baxter equations which imply, among other things,

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Herceg, Nikola, Tajron Jurić, Andjelo Samsarov, and Ivica Smolić. "Metric perturbations in noncommutative gravity." Journal of High Energy Physics 2024, no. 6 (2024). http://dx.doi.org/10.1007/jhep06(2024)130.

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Abstract We use the framework of Hopf algebra and noncommutative differential geometry to build a noncommutative (NC) theory of gravity in a bottom-up approach. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a Drinfeld twist. The final result of the construction is a general formalism for obtaining NC corrections to the classical theory of gravity for a wide class of deformations and a general background. This also includes a novel proposal for noncommutative Einstein manifold. Moreover, the general construction is applied to the case of a linearized gr

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