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Entropy functional and the holographic attractor mechanism

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arxiv 1712.01849 v3 pith:EICXYPJ7 submitted 2017-12-05 hep-th

Alejandro Cabo-Bizet , Uri Kol , Leopoldo A. Pando Zayas , Ioannis Papadimitriou , Vimal Rathee This is my paper · ORCID
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keywords entropyactionattractoreffectivemechanismtheoryabjmblack
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abstract

We provide a field theory interpretation of the attractor mechanism for asymptotically AdS$_4$ dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. We holographically compute the renormalized off-shell quantum effective action in the twisted ABJM theory as a function of the supersymmetric fermion masses and the arbitrary vacuum expectation values of the dimension one scalar bilinear operators and show that extremizing the effective action with respect to the vacuum expectation values of the dimension one scalar bilinears is equivalent to the attractor mechanism in the bulk. In fact, we show that the holographic quantum effective action coincides with the entropy functional and, therefore, its value at the extremum reproduces the black hole entropy.

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Cited by 3 Pith papers

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  1. Equivariant localization for $D=4$ gauged supergravity

    hep-th 2024-12 conditional novelty 8.0 of 10

    Supersymmetric Euclidean D=4 N=2 gauged supergravity actions and fluxes localize onto R-symmetry fixed points, proving large-N SCFT free-energy formulas and UV-IR relations.

  2. Aspects of AdS$_2$ classification in M-theory: Solutions with mesonic and baryonic charges

    hep-th 2019-08 conditional novelty 6.0 of 10

    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.

  3. The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy

    hep-th 2019-08 conditional novelty 6.0 of 10

    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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