Yang-Baxter deformations of WZW model on the Heisenberg Lie group
In: Nuclear Physics B, Vol 967, Iss, Pp 115423-(2021) Nuclear Physics; (2021-03-02)
Online
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Zugriff:
The Yang-Baxter (YB) deformations of Wess-Zumino-Witten (WZW) model on the Heisenberg Lie group ($H_4$) are examined. We proceed to obtain the nonequivalent solutions of (modified) classical Yang-Baxter equation ((m)CYBE) for the $ h_4$ Lie algebra by using its corresponding automorphism transformation. Then we show that YB deformations of $H_4$ WZW model are split into ten nonequivalent backgrounds including metric and $B$-field such that some of the metrics of these backgrounds can be transformed to the metric of $H_{4}$ WZW model while the antisymmetric $B$-fields are changed. The rest of the deformed metrics have a different isometric group structure than the $H_{4}$ WZW model metric. As an interesting result, it is shown that all new integrable backgrounds of the YB deformed $ H_4$ WZW model are conformally invariant up to two-loop order. In this way, we obtain the general form of the dilaton fields satisfying the vanishing beta-function equations of the corresponding $\sigma$-models.
Comment: 24 pages, some references are added
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Yang-Baxter deformations of WZW model on the Heisenberg Lie group
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Autor/in / Beteiligte Person: | Rezaei-Aghdam, A. ; Eghbali, A. ; Parvizi, Tayebe |
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Quelle: | Nuclear Physics B, Vol 967, Iss, Pp 115423-(2021) Nuclear Physics; (2021-03-02) |
Veröffentlichung: | 2021 |
Medientyp: | unknown |
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