Integrable supersymmetric deformations of AdS3 × S3 × T4
Integrable supersymmetric deformations of AdS3 × S3 × T4
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AdS3 → S3 → T4 的可积超对称变形
DOI：
10.1007/jhep09(2022)018
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发表时间：
2022
影响因子：
5.4
通讯作者：
Hoare B
中科院分区：
文献类型：
--
作者：
Hoare B
我们构建了一个 IIB 型弦背景族，它们是 AdS 3× S 3× T 4 的变形，具有由 NSNS 和 RR 通量组合支持的“压缩”AdS 3× S 3 度量。它们具有全局 SU (1, 1)× SU (2) 对称性、规则曲率、恒定膨胀并保留 8 个超电荷。在压缩到 4 维后，它们减少为 = 2 个具有麦克斯韦磁通量的超对称 AdS 2× S 2 解。这些IIB型超重力解可以通过T-对偶性和S-对偶性的组合从未变形的AdS 3× S 3× T 4 背景中找到。与 T 对偶性相反，IIB 型超重力背景的 S 对偶变换通常不保留相应 Green-Schwarz 超弦 sigma 模型的经典可积性。尽管如此，我们表明在本例中保留了可积性。事实上，我们发现这些背景可以从原始 AdS 3× S 3 超陪集模型的可积非齐次 Yang-Baxter 变形（使用单模 Drinfel'd-Jimbo R 矩阵）获得，直到 T 对偶性。
We construct a family of type IIB string backgrounds that are deformations of AdS 3× S 3× T 4 with a “squashed” AdS 3× 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= 2 supersymmetric AdS 2× S 2 solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed AdS 3× 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 AdS 3× S 3 supercoset model.