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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:
  • Mathematical Physics
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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Submission scipost_202012_00005v1 on 9 December 2020

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