Yang-Baxter and the Boost: splitting the difference

de Leeuw, Marius; Paletta, Chiara; Pribytok, Anton; Retore, Ana L.; Ryan, Paul

doi:10.21468/SciPostPhys.11.3.069

SciPost Physics

Yang-Baxter and the Boost: splitting the difference

Marius de Leeuw, Chiara Paletta, Anton Pribytok, Ana L. Retore, Paul Ryan

SciPost Phys. 11, 069 (2021) · published 27 September 2021

doi: 10.21468/SciPostPhys.11.3.069
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.3.069
TI  - Yang-Baxter and the Boost: splitting the difference
PY  - 2021/09/27
UR  - https://scipost.org/SciPostPhys.11.3.069
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 3
SP  - 069
A1  - de Leeuw, Marius
AU  - Paletta, Chiara
AU  - Pribytok, Anton
AU  - Retore, Ana L.
AU  - Ryan, Paul
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.3.069,
	title={{Yang-Baxter and the Boost: splitting the difference}},
	author={Marius de Leeuw and Chiara Paletta and Anton Pribytok and Ana L. Retore and Paul Ryan},
	journal={SciPost Phys.},
	volume={11},
	pages={069},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.3.069},
	url={https://scipost.org/10.21468/SciPostPhys.11.3.069},
}

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Authors / Affiliation: mappings to Contributors and Organizations

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¹ Marius de Leeuw,
¹ Chiara Paletta,
¹ Anton Pribytok,
¹ Ana L. Retore,
¹ Paul Ryan

¹ Coláiste na Tríonóide Baile Átha Cliath / Trinity College Dublin [TCD]

Funders for the research work leading to this publication