Abstract
We construct supersymmetric AdS_{3}×Σ solutions of minimal gauged supergravity in D=5, where Σ is a two-dimensional orbifold known as a spindle. Remarkably, these uplift on S^{5}, or more generally on any regular Sasaki-Einstein manifold, to smooth solutions of type IIB supergravity. The solutions are dual to d=2, N=(0,2) SCFTs and we show that the central charge for the gravity solution agrees with a field theory calculation associated with D3-branes wrapped on Σ.
Highlights
Introduction.—Important insights into strongly coupled supersymmetric conformal field theories (SCFTs) can be obtained by realizing them as the renormalization group fixed points of compactifications of higher-dimensional field theories
The solutions are dual to d 1⁄4 2, N 1⁄4 ð0; 2Þ SCFTs and we show that the central charge for the gravity solution agrees with a field theory calculation associated with D3-branes wrapped on Σ
Such solutions have a boundary of the form AdSdþ1 × M, where M is a compact manifold, which describes the ultraviolet (UV) of the SCFT in d spacetime dimensions
Summary
A solution is supersymmetric if it admits a Killing spinor satisfying. We write ε 1⁄4 θ ⊗ χ with θ a Killing spinor for AdS3 satisfying. The supersymmetric solution of interest is given by ds. Dz; ð4Þ is the metric on the horizon Σ and qðyÞ 1⁄4 4y3 − 9y2 þ 6ay − a2; ð5Þ with a a constant. Assuming a ∈ ð0; 1Þ the three roots yi of qðyÞ are all real and positive. Defining y1 < y2 < y3, we take y ∈ 1⁄2y1; y2 to obtain a positive definite metric (4) on Σ. As y approaches y1 and y2 it is not possible to remove the conical deficit singularities at both roots by a single choice of period Δz for z, to obtain a smooth twosphere.
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