Unimodular jordanian deformations of integrable superstrings

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.

arXiv commentv3, 16 pages, typos corrected, final version submitted to SciPost

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Cited by in corpus (17)

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• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
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