Abstract
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 Σg × Σ, where Σg 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 Σg × 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.
Highlights
An S5 internal space, leading to AdS3 × Y7 solutions of type IIB supergravity in which Y7 takes the fibred form
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
We shall recover this formula from a dual field theory calculation in section 4, along with the central charge (2.30)
Summary
We construct a family of supersymmetric AdS3 solutions to d = 5, U(1) gauged supergravity. These uplift on an S5 internal space to corresponding AdS3 × Y7 solutions of type IIB supergravity. We note that the solution to minimal gauged supergravity studied in [3] is obtained by setting KI = 0 for all I = 1, 2, 3, which is parametrized by the single parameter α. Applying the uplifting formula (2.4) to the AdS3 solution (2.2) gives rise to the following warped AdS3 × Y7 metric ds210 = L2W 1/2H(x)1/3 ds2AdS3 + ds2Y7 ,.
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