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On exactly solvable Yang-Baxter models and enhanced symmetries
by Khalil Idiab, Stijn Jurrien van Tongeren
Submission summary
| Authors (as registered SciPost users): | Khalil Idiab |
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| Preprint Link: | https://arxiv.org/abs/2403.07365v2 (pdf) |
| Date submitted: | 2024-04-04 06:53 |
| Submitted by: | Idiab, Khalil |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Theoretical |
Abstract
We study Yang-Baxter deformations of the flat space string that result in exactly solvable models, finding the Nappi-Witten model and its higher dimensional generalizations. We then consider the spectra of these models obtained by canonical quantization in light-cone gauge, and match them with an integrability-based Bethe ansatz approach. By considering a generalized light-cone gauge we can describe the model by a nontrivially Drinfel'd twisted S matrix, explicitly verifying the twisted structure expected for such deformations. Next, the reformulation of the Nappi-Witten model as a Yang-Baxter deformation shows that Yang-Baxter models can have more symmetries than suggested by the r matrix defining the deformation. We discuss these enhanced symmetries in more detail for some trivial and nontrivial examples. Finally, we observe that there are nonunimodular but Weyl-invariant Yang-Baxter models of a type not previously considered.