Entropy functional and the holographic attractor mechanism

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.

34 pages; v2 minor corrections, references added; v3 acknowledgments added

References in corpus (14)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Entropy Function and AdS(2)/CFT(1) Correspondence
• First Order Description of Black Holes in Moduli Space
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
• Holographic renormalization and supersymmetry
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• On Euclidean and Noetherian Entropies in AdS Space
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
• On the non-BPS first order flow in N=2 U(1)-gauged Supergravity
• On the On-Shell: The Action of AdS${}_4$ Black Holes
• First order flow equations for nonextremal black holes in AdS (super)gravity

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