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Unimodular jordanian deformations of integrable superstrings
by Stijn J. van Tongeren
Submission summary
| Authors (as registered SciPost users): | Stijn van Tongeren |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1904.08892v3 (pdf) |
| Date accepted: | July 15, 2019 |
| Date submitted: | July 9, 2019, 2 a.m. |
| Submitted by: | Stijn van Tongeren |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
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.
Published as SciPost Phys. 7, 011 (2019)