# Integrability

## Yang-Baxter deformations and generalized supergravity - A short summary

Integrable deformations of type IIB superstring theory on $\mathrm{AdS}_5\times S^5$ have played an important role over the last years. The Yang-Baxter deformation is a systematic way of generating such integrable deformations. Since its …

## O(d,d) transformations preserve classical integrability

In this note, we study the action of O(d,d) transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism. We construct the Lax pairs associated with the O(d,d)-transformed model and find that they …

## SUSY and the bi-vector

In this note we give an explicit formula for the preserved Killing spinors in deformed string theory backgrounds corresponding to integrable Yang-Baxter deformations realized via (sequences of) TsT transformations. The Killing spinors can be …

## Killing spinors from classical r-matrices

The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical $r$-matrices satisfying the classical YB equation. This YB …

## Deformations, defects and a noncommutative spectral curve

The fluxtrap is an exact string theory background that has been originally introduced as a string realization of the $\Omega$ deformation. The background can be completely captured, via a Seiberg-Witten map, by a noncommutative deformation of flat …