A hierarchy of WZW models related to super Poisson-Lie T-duality
2024
Online
report
Motivated by super Poisson-Lie (PL) symmetry of the Wess-Zumino-Witten (WZW) model based on the $(C^3+A)$ Lie supergroup of our previous work [A. Eghbali {\it et al.} JHEP 07 (2013) 134], we first obtain and classify all Drinfeld superdoubles (DSDs) generated by the Lie superbialgebra structures on the $({\cal C}^3+ {\cal A})$ Lie superalgebra as a theorem. Then, introducing a general formulation we find the conditions under which a two-dimensional $\sigma$-model may be equivalent to a WZW model. With the help of this formulation and starting the super PL symmetric $(C^3+A)$ WZW model, we get a hierarchy of WZW models related to super PL T-duality, in such a way that it is different from the super PL T-plurality, because the DSDs are, in this process, non-isomorphic. The most interesting indication of this work is that the $(C^3+A)$ WZW model does remain invariant under the super PL T-duality transformation, that is, the model is super PL self-dual.
Comment: 27 pages, 1 table, 1 figure, 1 appendix, two references add, introduction section updated
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A hierarchy of WZW models related to super Poisson-Lie T-duality
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Autor/in / Beteiligte Person: | Eghbali, Ali ; Rezaei-Aghdam, Adel |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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