SciPost logo

SciPost Submission Page

All Jordanian deformations of the $AdS_5 \times S^5$ superstring

by Riccardo Borsato, Sibylle Driezen

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Riccardo Borsato
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-04-13
Date submitted: 2023-03-01 16:24
Submitted by: Borsato, Riccardo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We explicitly construct and classify all Jordanian solutions of the classical Yang-Baxter equation on $\mathfrak{psu}(2,2|4)$, corresponding to Jordanian Yang-Baxter deformations of the $AdS_5\times S^5$ superstring. Such deformations preserve the classical integrability of the underlying sigma-model and thus are a subclass of all possible integrable deformations. The deformations that we consider are divided into two families, unimodular and non-unimodular ones. The former ensure that the deformed backgrounds are still solutions of the type IIB supergravity equations. For the simplest unimodular solutions, we find that the corresponding backgrounds preserve a number $N<32$ of supercharges that can be $N=12,8,6,4,0$.

Published as SciPost Phys. 14, 160 (2023)

Login to report or comment