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Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
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abstract
We compute the topologically twisted index for general $\mathcal{N} = 2$ supersymmetric field theories on $\mathbb{H}_2\times S^1$. We also discuss asymptotically $AdS_4$ magnetically charged black holes with hyperbolic horizon, in four-dimensional $\mathcal{N} = 2$ gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for $ABJM$ theories.
Forward citations
Cited by 3 Pith papers
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Aspects of AdS$_2$ classification in M-theory: Solutions with mesonic and baryonic charges
The paper gives necessary and sufficient geometric conditions for N=(1,0) AdS2 solutions in M-theory with SU(4)-structure, and presents numerical evidence for a new Q^{1,1,1} solution with both mesonic and baryonic charges.
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One-loop determinants for black holes in 4d gauged supergravity
The one-loop determinants for vector multiplets scale as (v1 chi_V)^{1/4} per multiplet, physical hypermultiplets give the inverse, and these combine into logarithmic corrections to AdS4 black hole entropy with an und...
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The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy
The leading term of the ABJM topologically twisted index in the 't Hooft limit equals the Bekenstein-Hawking entropy of the dual AdS4 black holes, with sub-leading terms including a predicted -(7/6) log lambda contribution.
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