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Holographic microstate counting for AdS$_4$ black holes in massive IIA supergravity
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abstract
We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS$_4 \times S^6$ from a microscopic counting of supersymmetric ground states in a holographically dual field theory. The counting is performed by evaluating the topologically twisted index of three-dimensional $\mathcal{N}=2$ Chern-Simons-matter gauge theories in the large $N$ limit. The $\mathcal{I}$-extremization principle is shown to match the attractor mechanism for the near-horizon geometries constructed in the four-dimensional dyonic $\mathcal{N}=2$ gauged supergravity, that arises as a consistent truncation of massive type IIA supergravity on $S^6$. In particular, our results prove that the imaginary part of the three-dimensional partition functions plays a crucial r\^ole in holography.
Forward citations
Cited by 6 Pith papers
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Equivariantly closed polyforms for type II Page fluxes and actions enable direct 10D localization of on-shell actions and flux quantization for minimally supersymmetric backgrounds.
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Black hole entropy function for toric theories via Bethe Ansatz
Using Bethe Ansatz equations, the authors show that a simple class of solutions reproduces the conjectured entropy function of rotating AdS5 black holes for all toric quiver gauge theories.
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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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Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
A review of 3D N=2 supersymmetric localization showing that partition functions on Seifert manifolds reduce to sums over Bethe vacua.
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