# Unimodular jordanian deformations of integrable superstrings

### Submission summary

 As Contributors: Stijn van Tongeren Arxiv Link: https://arxiv.org/abs/1904.08892v2 Date submitted: 2019-05-23 Submitted by: van Tongeren, Stijn Submitted to: SciPost Physics Domain(s): Theoretical Subject area: High-Energy Physics - Theory

### Abstract

We find new homogeneous $r$ matrices containing supercharges, and use them to find new backgrounds of Yang-Baxter deformed superstrings. We obtain these as limits of unimodular inhomogeneous $r$ matrices and associated deformations of AdS$_2\times$S$^2\times$T$^6$ and AdS$_5\times$S$^5$. Our $r$ matrices are jordanian, but also unimodular, and lead to solutions of the regular supergravity equations of motion. In general our deformations are equivalent to particular non-abelian T duality transformations. Curiously, one of our backgrounds is also equivalent to one produced by TsT transformations and an S duality transformation.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1904.08892v2 on 23 May 2019