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arXiv · 2212.11269

All Jordanian deformations of the $AdS_5 \times S^5$ superstring

Riccardo Borsato·Sibylle Driezen
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Abstract

We explicitly construct and classify all Jordanian solutions of the classical Yang-Baxter equation on $\mathfrak{psu}(2,2|4)$, corresponding to Jordanian Yang-Baxter deformations of the $AdS_5\times S^5$ superstring. Such deformations preserve the classical integrability of the underlying sigma-model and thus are a subclass of all possible integrable deformations. The deformations that we consider are divided into two families, unimodular and non-unimodular ones. The former ensure that the deformed backgrounds are still solutions of the type IIB supergravity equations. For the simplest unimodular solutions, we find that the corresponding backgrounds preserve a number $N<32$ of supercharges that can be $N=12,8,6,4,0$.

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Riccardo Borsato, Sibylle Driezen. 2022-12-21. All Jordanian deformations of the $AdS_5 \times S^5$ superstring. https://doi.org/10.21468/scipostphys.14.6.160

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