A hierarchy of WZW models related to super Poisson-Lie T-duality
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913499832123392 |
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| author | Eghbali, Ali Rezaei-Aghdam, Adel |
| author_facet | Eghbali, Ali Rezaei-Aghdam, Adel |
| contents | 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 $σ$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09636 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A hierarchy of WZW models related to super Poisson-Lie T-duality Eghbali, Ali Rezaei-Aghdam, Adel High Energy Physics - Theory 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 $σ$-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. |
| title | A hierarchy of WZW models related to super Poisson-Lie T-duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.09636 |