Abstract
We construct supersymmetric AdS5 × Σ solutions of D = 7 gauged supergravity, where Σ is a two-dimensional orbifold known as a spindle. These uplift on S4 to solutions of D = 11 supergravity which have orbifold singularites. We argue that the solutions are dual to d = 4, mathcal{N} = 1 SCFTs that arise from N M5-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge.
Highlights
Local form of the solutionsWe are interested in solutions of a truncation of D = 7 gauged supergravity theory that keeps two U(1) gauge fields, Ai, and two real scalar fields, φ = (φ1, φ2)
In recent work, it has been shown that there are fundamentally new constructions where this is not the case, and Σ(2) is instead a “spindle” [6]
In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge
Summary
We are interested in solutions of a truncation of D = 7 gauged supergravity theory that keeps two U(1) gauge fields, Ai, and two real scalar fields, φ = (φ1, φ2). D = 11 supergravity, it was shown in [15] that solutions with F1 ∧ F2 = 0, of relevance in this paper, can be uplifted on an S4 to obtain solutions of D = 11 supergravity. The supersymmetric AdS5 × Σ solutions of interest are given by ds27 = (yP (y))1/5. These solutions can be obtained by doing an analytic continuation [13] of the supersymmetric, static R-charged black holes constructed in [14,15,16]
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