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

Borsato, Riccardo; Driezen, Sibylle

doi:10.21468/SciPostPhys.14.6.160

SciPost Physics

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

Riccardo Borsato, Sibylle Driezen

SciPost Phys. 14, 160 (2023) · published 19 June 2023

doi: 10.21468/SciPostPhys.14.6.160
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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 $N=12,8,6,4,0$.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.6.160
TI  - All Jordanian deformations of the $AdS_5 \times S^5$ superstring
PY  - 2023/06/19
UR  - https://scipost.org/SciPostPhys.14.6.160
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 6
SP  - 160
A1  - Borsato, Riccardo
AU  - Driezen, Sibylle
AB  - 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 $N=12,8,6,4,0$.
ER  -

@Article{10.21468/SciPostPhys.14.6.160,
	title={{All Jordanian deformations of the $AdS_5 \times S^5$ superstring}},
	author={Riccardo Borsato and Sibylle Driezen},
	journal={SciPost Phys.},
	volume={14},
	pages={160},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.6.160},
	url={https://scipost.org/10.21468/SciPostPhys.14.6.160},
}

Cited by 3

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¹ Riccardo Borsato,
¹ Sibylle Driezen

¹ Universidade de Santiago de Compostela / University of Santiago de Compostela [USC]

Funders for the research work leading to this publication