Black hole microstates in AdS${}_4$ from supersymmetric localization

Abstract

This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS${}_4$ static black holes preserving two real supercharges which are dual to a topologically twisted deformation of the ABJM theory. We evaluate in the large $N$ limit the topologically twisted index of the ABJM theory and we show that it correctly reproduces the entropy of the AdS${}_4$ black holes. An extremization of the index with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black hole.

35 pages + appendices, 4 figures; v2: refs added

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Witten Index and Wall Crossing
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Brane Tilings and M2 Branes
• Supersymmetry enhancement by monopole operators
• Supersymmetric Index from Black Hole Entropy
• AdS spacetimes from wrapped M5 branes
• Comments on 1/16 BPS Quantum States and Classical Configurations
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Branes, Calibrations and Supergravity
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• Static BPS black holes in U(1) gauged supergravity
• Various Wrapped Branes from Gauged Supergravities
• AdS spacetimes from wrapped D3-branes
• AdS4 black holes from M-theory

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