论文标题
$ \ rm ads_3 \ times s^3 \ times t^4 $的集成超对称变形
Integrable supersymmetric deformations of $\rm AdS_3 \times S^3 \times T^4$
论文作者
论文摘要
我们构建了一个类型的IIB字符串背景家族，其变形为$ \ rm ads_3 \ times s^3 \ times t^4 $，并带有“挤压” $ \ rm ads_3 \ times s^3 $ s^3 $ metric，由NSNS和RR Fluxes的组合支持。他们具有全球$ \ rm su（1,1）\ times su（2）$对称性，常规曲率，恒定dilaton和保留8个增压。压实到4个维度后，它们还原为$ \ Mathcal n = 2 $ supersymmetric $ \ rm ads_2 \ times s^2 $解决方案，带有电气和磁性麦克斯韦通量。这些类型的IIB超级实力解决方案可以从未构造的$ \ rm ads_3 \ times s^3 \ times t^4 $背景下通过T-偶数和S-二维的组合找到。与T偶二重性相反，IIB类型超级实力背景的S偶尔转换通常不能保留相应的绿色 - 奇瓦尔兹超弦Sigma模型的经典整合性。然而，我们表明在本案中保留了整合性。的确，我们发现可以从原始$ \ rm ads_3 \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm \ rm a ads_3 \ times s^3 $ supercoset模型的不均匀的杨巴克斯特变形（带有单型drinfel'd-jimbo r-matrix）中获得这些背景。
We construct a family of type IIB string backgrounds that are deformations of $\rm AdS_3 \times S^3 \times T^4$ with a "squashed" $\rm AdS_3 \times S^3$ metric supported by a combination of NSNS and RR fluxes. They have global $\rm SU(1,1) \times SU(2)$ symmetry, regular curvature, constant dilaton and preserve 8 supercharges. Upon compactification to 4 dimensions they reduce to $\mathcal N=2$ supersymmetric $\rm AdS_2 \times S^2$ solutions with electric and magnetic Maxwell fluxes. These type IIB supergravity solutions can be found from the undeformed $\rm AdS_3 \times S^3 \times T^4$ 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 $\rm AdS_3 \times S^3$ supercoset model.
