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Title: Entropy functional and the holographic attractor mechanism

Abstract

We provide a field theory interpretation of the attractor mechanism for asymptotically AdS4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. Here, 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.

Authors:
 [1];  [2];  [3]; ORCiD logo [4];  [5]
  1. King's College London, London (United Kingdom)
  2. New York Univ. (NYU), NY (United States). Center for Cosmology and Particle Physics, Dept. of Physics; Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
  3. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  4. Korea Inst. for Advanced Study, Seoul (South Korea). School of Physics
  5. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1457335
Grant/Contract Number:  
SC0017808
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Black Holes in String Theory; Gauge-gravity correspondence; Supersymmetric Gauge Theory

Citation Formats

Cabo-Bizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, and Rathee, Vimal. Entropy functional and the holographic attractor mechanism. United States: N. p., 2018. Web. doi:10.1007/JHEP05(2018)155.
Cabo-Bizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, & Rathee, Vimal. Entropy functional and the holographic attractor mechanism. United States. doi:10.1007/JHEP05(2018)155.
Cabo-Bizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, and Rathee, Vimal. Thu . "Entropy functional and the holographic attractor mechanism". United States. doi:10.1007/JHEP05(2018)155. https://www.osti.gov/servlets/purl/1457335.
@article{osti_1457335,
title = {Entropy functional and the holographic attractor mechanism},
author = {Cabo-Bizet, Alejandro and Kol, Uri and Pando Zayas, Leopoldo A. and Papadimitriou, Ioannis and Rathee, Vimal},
abstractNote = {We provide a field theory interpretation of the attractor mechanism for asymptotically AdS4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM theory at Chern-Simons level one. Here, 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.},
doi = {10.1007/JHEP05(2018)155},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}

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Cited by: 13 works
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