Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds

Abstract

We study the twisted index of 4d $\mathcal{N}$ = 2 class S theories on a closed hyperbolic 3-manifold $M_3$. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat connections on the 3-manifold. Using the topological expression, we determine the full perturbative 1/N expansion of the twisted index. The leading part nicely matches the Bekestein-Hawking entropy of a magnetically charged black hole in the holographic dual $Ad{S}_5$ with $Ad{S}_2\times M_3$ near-horizon.

arXiv comment10 pages, v2: minor corrections and references added

References in corpus (24)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• N=2 dualities
• Supergravity description of field theories on curved manifolds and a no go theorem
• Four-dimensional wall-crossing via three-dimensional field theory
• Counting Dyons in N=4 String Theory
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS${}_5$ black holes
• A topologically twisted index for three-dimensional supersymmetric theories
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Comments on twisted indices in 3d supersymmetric gauge theories
• SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls
• Fivebranes and 3-manifold homology
• The asymptotic growth of states of the 4d N=1 superconformal index
• Supersymmetric partition functions and the three-dimensional A-twist
• Partition functions and elliptic genera from supergravity
• Cardy-like asymptotics of the 4d $\mathcal{N}=4$ index and AdS${}_5$ blackholes
• Universal RG Flows Across Dimensions and Holography
• Bethe/Gauge correspondence on curved spaces
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• A One-loop Test of Quantum Black Holes in Anti de Sitter Space
• Supergravity and D-branes Wrapping Supersymmetric 3-Cycles
• Symmetry enhancement and closing of knots in 3d/3d correspondence

Cited by in corpus (3)

• Lectures on AdS Black Holes, Holography and Localization
• A slow review of the AGT correspondence
• Holographic renormalization group flows in two-dimensional gravity and $AdS$ black holes