Entropy functional and the holographic attractor mechanism
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 ChernSimons level one. Here, we holographically compute the renormalized offshell 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]};
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;
^{[5]}
 King's College London, London (United Kingdom)
 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
 Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
 Korea Inst. for Advanced Study, Seoul (South Korea). School of Physics
 Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics
 Publication Date:
 Grant/Contract Number:
 SC0017808
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Michigan, Ann Arbor, MI (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT Correspondence; Black Holes in String Theory; Gaugegravity correspondence; Supersymmetric Gauge Theory
 OSTI Identifier:
 1457335
CaboBizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, and Rathee, Vimal. Entropy functional and the holographic attractor mechanism. United States: N. p.,
Web. doi:10.1007/JHEP05(2018)155.
CaboBizet, 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.
CaboBizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, and Rathee, Vimal. 2018.
"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 = {CaboBizet, 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 ChernSimons level one. Here, we holographically compute the renormalized offshell 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)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}