We construct families of supersymmetric AdS₃ × Y₇ and AdS₃ × Y₈ solutions to type IIB string theory and M-theory, respectively. Here Y₇ is an S⁵ fibration over Σ, while Y₈ is an S⁴ fibration over Σ_g × Σ, where Σ_g is a Riemann surface of genus g > 1 and Σ is a two-dimensional orbifold known as a spindle. We interpret the solutions as near-horizon limits of N D3-branes wrapped on Σ and N M5-branes wrapped on Σ_g × Σ, respectively. These are holographically dual to d = 2, (0, 2) SCFTs, and we show that the central charge and superconformal R-symmetry of the gravity solutions agree with dual field theory calculations.

我们分别构建了超对称 AdS ₃ × Y ₇和 AdS ₃ × Y ₈解决方案族，分别用于类型 IIB 弦理论和 M 理论。这里Y ₇是Σ 上的S ⁵纤维化，而Y ₈是Σ _g × Σ 上的S ⁴纤维化，其中 Σ _g是g > 1的黎曼曲面，而 Σ 是称为纺锤体的二维轨道。我们解释解决方案的近范围限制ñ缠绕在Σ和D3-branes ň缠住ΣM5-branes _{g ^}× Σ，分别。这些是d = 2, (0 , 2) SCFT 的全息对偶，我们表明重力解的中心电荷和超共形 R 对称性与对偶场理论计算一致。