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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 |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202409_00017v1 (pdf) |
| Date submitted: | 2024-09-15 03:29 |
| Submitted by: | Idiab, Khalil |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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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.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
List of changes
1. We have rewritten equation (2.2) to avoid the explicit use of mod.
2. We have briefly indicated the typical constraints on $\ell_1$ and $\ell_2$ in (2.9)
3. We have fixed this typographical error, and replaced indices in this and surrounding expressions, to avoid potentially confusing primes.
4. We have rephrased slightly to clarify what we meant, by changing "appears" to "might appear". The reason for this footnote is to clarify the fact that naively considered one might think there is a conflict with the results of [46], explaining that this is not the case.
We have moreover rephrased the discussion surrounding the background associated to the r matrix in eqn. (6.24), to emphasize that the deformed background is in fact just undeformed flat space, in line with the weakness point 2 of the first report. We have also moved eight footnotes to the main text, in line with weakness point 3 of the first report.
We believe this addresses all points raised in the reports.