Yang-Baxter deformations of the [Formula omitted] WZW model and non-Abelian T-duality

By calculating inequivalent classical r-matrices for the [Formula omitted] Lie algebra as solutions of (modified) classical Yang-Baxter equation ((m)CYBE), we classify the YB deformations of Wess-Zumino-Witten (WZW) model on the [Formula omitted] Lie group in twelve inequivalent families. Most impor...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-10, Vol.83 (10)
Main Authors: Eghbali, Ali, Parvizi, Tayebe, Rezaei-Aghdam, Adel
Format: Article
Language:English
Subjects:
Algebra
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Summary:By calculating inequivalent classical r-matrices for the [Formula omitted] Lie algebra as solutions of (modified) classical Yang-Baxter equation ((m)CYBE), we classify the YB deformations of Wess-Zumino-Witten (WZW) model on the [Formula omitted] Lie group in twelve inequivalent families. Most importantly, it is shown that each of these models can be obtained from a Poisson-Lie T-dual [Formula omitted]-model in the presence of the spectator fields when the dual Lie group is considered to be Abelian, i.e. all deformed models have Poisson-Lie symmetry just as undeformed WZW model on the [Formula omitted]. In this way, all deformed models are specified via spectator-dependent background matrices. For one case, the dual background is clearly found.
ISSN:1434-6044
DOI:10.1140/epjc/s10052-023-12084-8