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Integrable supersymmetric deformations of AdS3 × S3 × T4

Hoare, Ben; Seibold, Fiona K.; Tseytlin, Arkady A.

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Fiona K. Seibold

Arkady A. Tseytlin


We construct a family of type IIB string backgrounds that are deformations of AdS3 × S 3 × T 4 with a “squashed” AdS3 × S 3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to N = 2 supersymmetric AdS2 × S 2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS3 × S 3 × T 4 background by a combination of T-dualities and S-duality. In contrast to T-duality, S-duality transformations of a type IIB supergravity background do not generally preserve the classical integrability of the corresponding Green-Schwarz superstring sigma model. Nevertheless, we show that integrability is preserved in the present case. Indeed, we find that these backgrounds can be obtained, up to T-dualities, from an integrable inhomogeneous Yang-Baxter deformation (with unimodular Drinfel’d-Jimbo R-matrix) of the original AdS3 × S 3 supercoset model.


Hoare, B., Seibold, F. K., & Tseytlin, A. A. (2022). Integrable supersymmetric deformations of AdS3 × S3 × T4. Journal of High Energy Physics, 2022(9), Article 18.

Journal Article Type Article
Acceptance Date Aug 10, 2022
Online Publication Date Sep 2, 2022
Publication Date 2022-09
Deposit Date Sep 5, 2022
Publicly Available Date Oct 18, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 9
Article Number 18
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Published Journal Article (780 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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