Classifying nearest-neighbour interactions and deformations of AdS

13 Apr 2020 · de Leeuw Marius, Paletta Chiara, Pribytok Anton, Retore Ana L., Ryan Paul ·

We classify all regular solutions of the Yang-Baxter equation of eight-vertex type. Regular solutions correspond to spin chains with nearest-neighbour interactions. We find a total of four independent solutions. Two are related to the usual six- and eight-vertex models that have R-matrices of difference form. We find two completely new solutions of the Yang-Baxter equation, which are manifestly of non-difference form. These new solutions contain the S-matrices of the AdS2 and AdS3 integrable models as a special case. Consequently, we can classify all possible integrable deformations of eight-vertex type of these holographic integrable systems.

PDF Abstract

Code

Add Remove Mark official

No code implementations yet. Submit your code now

Edit Social Preview

Classifying nearest-neighbour interactions and deformations of AdS

Code Edit Add Remove Mark official

Categories

Code

Add Remove Mark official