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

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Academic literature on the topic 'Supersymmetry, Lie algebra, S-expansion'

Author: Grafiati
Published: 14 March 2023
Last updated: 19 July 2025

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

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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Supersymmetry, Lie algebra, S-expansion"

1

CALDERON, IPINZA MARCELO. "An Analytic Method for S-Expansion involving Resonance and Reduction." Doctoral thesis, Politecnico di Torino, 2017. http://hdl.handle.net/11583/2679235.

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In this work we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an S-expansion process (with either resonance or 0-resonant-reduction) for reaching a target Lie (super)algebra from a starting one,after having properly chosen the partitions over subspaces of the considered (super)algebras. This analytic method gives us a simple set of expressions to find the subset decomposition of the set(s) involved in the process. Then, we use the information coming from both the initial (super)algebra and the target one for reaching the multiplication
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RAVERA, LUCREZIA. "Group Theoretical Hidden Structure of Supergravity Theories in Higher Dimensions." Doctoral thesis, Politecnico di Torino, 2018. http://hdl.handle.net/11583/2700157.

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L'obiettivo della mia tesi di dottorato è quello di esplorare simmetrie nascoste nelle teorie di supergravità. In questa direzione ho affrontato diversi temi di ricerca: da un lato mi sono dedicata all'analisi della struttura di gauge nascosta in teorie di supergravità in varie dimensioni di spazio-tempo e allo studio di un particolare modello in quattro dimensioni in presenza di un bordo spaziale non banale; dall'altro lato, mi sono focalizzata sui legami algebrici tra superalgebre di rilevanza nel campo della supergravità. Nei primi tre capitoli della tesi vengono forniti un'introduzione gen
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