## SciPost Submission Page

# Unimodular jordanian deformations of integrable superstrings

### by Stijn J. van Tongeren

#### - Published as SciPost Phys. 7, 011 (2019)

### Submission summary

As Contributors: | Stijn van Tongeren |

Arxiv Link: | https://arxiv.org/abs/1904.08892v3 |

Date accepted: | 2019-07-15 |

Date submitted: | 2019-07-09 |

Submitted by: | van Tongeren, Stijn |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | High-Energy Physics - Theory |

Approach: | Theoretical |

### 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 AdS2 x S2 x T6 and AdS5 x S5. 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.

### Ontology / Topics

See full Ontology or Topics database.Published as SciPost Phys. 7, 011 (2019)

### Author comments upon resubmission

### List of changes

With regard to the suggestions by Riccardo Borsato:

- At the end of section 4 I now mention the timelike nature of the T duality, with an appropriate reference.

- I corrected the indicated typographical errors.

Beyond the referees' suggestions:

- I made some minor changes in phrasing and indentation at various place in the paper, without affecting meaning.

- I corrected a typographical error in formula (29) and related typos in footnote 10 and equation (46).

- I added what is now footnote 12, adding a minor comment regarding the structure of the extra r matrix discussed in the discussion.