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Unimodular jordanian deformations of integrable superstrings

by Stijn J. van Tongeren

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Stijn van Tongeren
Submission information
Preprint Link:  (pdf)
Date accepted: 2019-07-15
Date submitted: 2019-07-09 02:00
Submitted by: van Tongeren, Stijn
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


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.

Author comments upon resubmission

I thank the referees for their positive and helpful reports, in particular Riccardo Borsato for his detailed comments.

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.

Published as SciPost Phys. 7, 011 (2019)

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