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Relevant bibliographies by topics / Supersymmetry, Lie algebra, S-expansion / Journal articles

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Journal articles on the topic 'Supersymmetry, Lie algebra, S-expansion'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

FELDER, G., and A. LECLAIR. "RESTRICTED QUANTUM AFFINE SYMMETRY OF PERTURBED MINIMAL CONFORMAL MODELS." International Journal of Modern Physics A 07, supp01a (1992): 239–78. http://dx.doi.org/10.1142/s0217751x9200380x.

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We study the structure of superselection sectors of an arbitrary perturbation of a conformal field theory. We describe how a restriction of the q-deformed sl(2) affine Lie algebra symmetry of the sine-Gordon theory can be used to derive the S-matrices of the Φ(1,3) perturbations of the minimal unitary series. This analysis provides an identification of fields which create the massive kink spectrum. We investigate the ultraviolet limit of the restricted sine-Gordon model, and explain the relation between the restriction and the Fock space cohomology of minimal models. We also comment on the str

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2

Welsh, Trevor A. "Burge multipartitions and the AGT correspondence." Journal of Physics: Conference Series 2667, no. 1 (2023): 012028. http://dx.doi.org/10.1088/1742-6596/2667/1/012028.

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Abstract Burge multipartitions are tuples of partitions that satisfy a cyclic embedding condition. When uncoloured, Burge m-multipartitions give a combinatorial model for characters of the Wm algebras (W 2 is the Virasoro algebra). When n-coloured, they generalise the “cylindric partitions” that provide a combinatorial model (and a crystal graph) for integrable characters of the affine Lie algebra s l ^ ( n ) . Here, we show that the n-coloured Burge m-multipartitions yield the characters of the CFT cosets g l ^ ( d ) m / g l ^ ( d − n ) m . Having previously shown that the same combinatorial

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3

DAS, ASHOK, WEN-JUI HUANG, and SHIBAJI ROY. "ZERO CURVATURE CONDITION OF OSp(2/2) AND THE ASSOCIATED SUPERGRAVITY THEORY." International Journal of Modern Physics A 07, no. 18 (1992): 4293–311. http://dx.doi.org/10.1142/s0217751x92001915.

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The N=2 fermionic extensions of the KdV equations are derived from the zero curvature condition associated with the graded Lie algebra of OSp(2/2). These equations lead to two bi-Hamiltonian systems, one of which is supersymmetric. We also derive the one-parameter family of N=2 supersymmetric KdV equations without a bi-Hamiltonian structure in this approach. Following our earlier proposal, we interpret the zero curvature condition as a gauge anomaly equation which brings out the underlying current algebra for the corresponding 2D supergravity theory. This current algebra is then used to obtain

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4

Romano, Luca. "Non-relativistic four dimensional p-brane supersymmetric theories and Lie algebra expansion." Classical and Quantum Gravity 37, no. 14 (2020): 145016. http://dx.doi.org/10.1088/1361-6382/ab8bbc.

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5

DAS, ASHOK, and C. A. P. GALVÃO. "SELF-DUALITY AND THE SUPERSYMMETRIC KdV HIERARCHY." Modern Physics Letters A 08, no. 15 (1993): 1399–406. http://dx.doi.org/10.1142/s0217732393001112.

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We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimensions associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of SUSY KdV equations as well as the s-KdV equations from such a condition. We formulate the SUSY KdV hierarchy as a vanishing curvature condition associated with the U(1) group and show how an Abelian self-duality condition in four dimensions can also lead to these equations.

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6

Artebani, M., R. Caroca, M. C. Ipinza, D. M. Peñafiel, and P. Salgado. "Geometrical aspects of the Lie algebra S-expansion procedure." Journal of Mathematical Physics 57, no. 2 (2016): 023516. http://dx.doi.org/10.1063/1.4941135.

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7

Izaurieta, F., A. Perez, E. Rodriguez, and P. Salgado. "Dual formulation of the Lie algebra S-expansion procedure." Journal of Mathematical Physics 50, no. 7 (2009): 073511. http://dx.doi.org/10.1063/1.3171923.

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8

Kasikci, Oguzhan, and Mehmet Ozkan. "Lie algebra expansions, non-relativistic matter multiplets and actions." Journal of High Energy Physics 2022, no. 1 (2022). http://dx.doi.org/10.1007/jhep01(2022)081.

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Abstract We discuss a general methodology to provide rigid, off-shell matter multiplets and actions for recently constructed non-relativistic superalgebras. The technique is based on the Lie algebra expansion, which, in the context of supersymmetry, has so far been used to obtain non-relativistic on-shell supergravity models. We first explain how the Lie algebra expansion can be implemented to generate off-shell rigid multiplets on a flat background by developing an auxiliary framework where only the lowest order behavior of the spatial and temporal vielbein is relevant. We then provide explic

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9

Concha, Patrick, Evelyn Rodríguez, and Sebastián Salgado. "Three-dimensional non-relativistic Hietarinta supergravity." European Physical Journal C 85, no. 1 (2025). https://doi.org/10.1140/epjc/s10052-025-13761-6.

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Abstract In this work we present the non-relativistic regime of the Hietarinta gravity theory and its extension to supergravity. At the bosonic level, we derive the non-relativistic version of the Hietarinta model by employing a contraction process and addressing the non-degeneracy of the invariant metric. To incorporate supersymmetry, we apply the Lie algebra expansion method to obtain the non-relativistic formulation of $${\mathcal {N}}=2$$ N = 2 Hietarinta supergravity. Our results reveal that the non-relativistic Hietarinta theory encompasses the extended Bargmann (super)gravity as a speci

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10

Letsios, Vasileios A. "Unconventional conformal invariance of maximal depth partially massless fields on dS4 and its relation to complex partially massless SUSY." Journal of High Energy Physics 2024, no. 8 (2024). http://dx.doi.org/10.1007/jhep08(2024)147.

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Abstract Deser and Waldron have shown that maximal depth partially massless theories of higher (integer) spin on four-dimensional de Sitter spacetime (dS4) possess infinitesimal symmetries generated by the conformal Killing vectors of dS4. However, it was later shown by Barnich, Bekaert, and Grigoriev that these theories are not invariant under the conformal algebra so(2, 4). To get some insight into these seemingly contradicting results we write down the full set of infinitesimal transformations of the fields generated by the fifteen conformal Killing vectors of dS4. In particular, although t

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11

Benayadi, Saïd, and Fahmi Mhamdi. "Invariant bilinear forms on Leibniz superalgebras." Journal of Algebra and Its Applications, February 9, 2021, 2250098. http://dx.doi.org/10.1142/s0219498822500980.

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In [S. Benayadi, F. Mhamdi and S. Omri, Quadratic (resp. symmetric) Leibniz superalgebras, Commun. Algebra, https://doi.org/10.1080/00927872.2020.1850751 ], the quadratic Leibniz superalgebras, which are (left or right) Leibniz superalgebras provided with even supersymmetric non-degenerate and associative bilinear forms, were investigated. Besides the notion of associativity, there are other kinds of invariance for bilinear forms on Leibniz superalgebras, namely the left invariance and the right invariance. In this paper, we investigate the Leibniz superalgebras endowed with even, supersymmetr

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12

Concha, Patrick, Marcelo Ipinza, Lucrezia Ravera, and Evelyn Rodríguez. "Non-relativistic three-dimensional supergravity theories and semigroup expansion method." Journal of High Energy Physics 2021, no. 2 (2021). http://dx.doi.org/10.1007/jhep02(2021)094.

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Abstract In this work we present an alternative method to construct diverse non-relativistic Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply the Lie algebra expansion method based on semigroups to a supersymmetric extension of the Nappi-Witten algebra. Two different families of non-relativistic superalgebras are obtained, corresponding to generalizations of the extended Bargmann superalgebra and extended Newton-Hooke superalgebra, respectively. The expansion method considered here allows to obtain known and new non-relativistic supergravity models in a s

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13

Greenman, Chris D. "Time Series Path Integral Expansions for Stochastic Processes." Journal of Statistical Physics 187, no. 3 (2022). http://dx.doi.org/10.1007/s10955-022-02912-8.

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AbstractA form of time series path integral expansion is provided that enables both analytic and numerical temporal effect calculations for a range of stochastic processes. All methods rely on finding a suitable reproducing kernel associated with an underlying representative algebra to perform the expansion. Birth–death processes can be analysed with these techniques, using either standard Doi-Peliti coherent states, or the $${\mathfrak {s}}{\mathfrak {u}}(1,1)$$ s u ( 1 , 1 ) Lie algebra. These result in simplest expansions for processes with linear or quadratic rates, respectively. The techn

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14

Emmerson, Parker. "Vector Calculus: Infinity Logic Ray Calculus with Quasi-Quanta Algebra Limits (Rough Draft)." July 25, 2023. https://doi.org/10.5281/zenodo.8176414.

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Golden Ratio Angle in Infinity Logic Ray Calculus with Quasi-Quanta Algebra LimitsThis document explores the relationship between the golden ratio and ray tracing in the context of Infinity Logic Ray Calculus with Quasi-Quanta Algebra Limits (ILR-QAL). The paper focuses on two key aspects:<strong>Densified Sweeping Subnet:</strong> This concept involves enriching the sweeping process by incorporating an additional factor into the definition of the sweeping subnet. This results in a denser and more detailed representation of the system dynamics.<strong>Golden Ratio Angle:</strong> The analysis

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15

Dr., Narayan Kumar Bhadra. "Revised Standard Model of Physics and Origin of Biology." December 31, 2018. https://doi.org/10.9790/4861-1101011240.

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Abstract: We study with a new conception beyond the standard model physics and about the formation of biological molecules/atoms. Our physical universe appeared by a continuous symmetry breaking of the new energy sources from ‘Big Rip’ Singularity[i.e. when space-time(here we consider the square of the Einstein’s real space & time of the physical unfolded universe i.e., -R 2 )is infinity in another phase] to the “Super Unified Gaussian Energy Group SU(11)”(that means considering the Revised Standard Model of Physics) then GUT the “Unified Gaussian Energy

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