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Yang-Baxter and the Boost: splitting the difference
by Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, Paul Ryan
Submission summary
| As Contributors: | Paul Ryan |
| Preprint link: | scipost_202012_00005v1 |
| Date submitted: | 2020-12-09 22:00 |
| Submitted by: | Ryan, Paul |
| Submitted to: | SciPost Physics |
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this paper we continue our classification of regular solutions of the Yang-Baxter equation using the method based on the spin chain boost operator developed in \cite{deLeeuw:2019zsi}. We provide details on how to find all non-difference form solutions and apply our method to spin chains with local Hilbert space of dimensions two, three and four. We classify all 16×16 solutions which exhibit su(2)+su(2) symmetry, which include the one-dimensional Hubbard model and the S-matrix of the AdS5 x S5 superstring sigma model. In all cases we find interesting novel solutions of the Yang-Baxter equation.
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