Entropy functional and the holographic attractor mechanism

Cabo-Bizet, Alejandro; Kol, Uri; Pando Zayas, Leopoldo A.; Papadimitriou, Ioannis; Rathee, Vimal

doi:10.1007/JHEP05(2018)155

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:

Cabo-Bizet, Alejandro ^[1]; Kol, Uri ^[2]; Pando Zayas, Leopoldo A. ^[3];

^[4]; Rathee, Vimal ^[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:: Thu May 24 00:00:00 EDT 2018

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1457335

Alternate Identifier(s):: OSTI ID: 1650574

Grant/Contract Number:: SC0017808; SC0007859

Resource 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 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.

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                    Cabo-Bizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, & Rathee, Vimal. Entropy functional and the holographic attractor mechanism.  United States.  https://doi.org/10.1007/JHEP05(2018)155

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                    Cabo-Bizet, Alejandro, Kol, Uri, Pando Zayas, Leopoldo A., Papadimitriou, Ioannis, and Rathee, Vimal. Thu .  
"Entropy functional and the holographic attractor mechanism".  United States.  https://doi.org/10.1007/JHEP05(2018)155.  https://www.osti.gov/servlets/purl/1457335.

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@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)},

  number       = 5,

  volume       = 2018,

  place        = {United States},

  year         = {Thu May 24 00:00:00 EDT 2018},

  month        = {Thu May 24 00:00:00 EDT 2018}

}

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Title: Entropy functional and the holographic attractor mechanism

Abstract

Citation Formats

Flow Equations for Non-BPS Extremal Black Holes text, January 2007

Holographic RG flow and the quantum effective action journal, April 2014

Black hole microstates in AdS4 from supersymmetric localization journal, May 2016

Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization text, January 2017

First Order Description of Black Holes in Moduli Space text, January 2007

Macroscopic entropy of N = 2 extremal black holes journal, August 1996

Thermodynamics of Asymptotically Locally AdS Spacetimes text, January 2005

N=2 Extremal Black Holes text, January 1995

Exact microstate counting for dyonic black holes in AdS4 text, January 2016

Macroscopic Entropy of $N=2$ Extremal Black Holes text, January 1996

Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations journal, February 2007

Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes text, January 2017

First order description of black holes in moduli space journal, November 2007

Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT journal, May 2007

Supersymmetric AdS_4 black holes and attractors text, January 2009

Phases of planar AdS black holes with axionic charge text, January 2016

Logarithmic corrections to entropy of magnetically charged AdS 4 black holes journal, November 2017

Holographic Renormalization of general dilaton-axion gravity text, January 2011

Extremal limits and black hole entropy journal, November 2009

Euclidean and Noetherian entropies in AdS space journal, August 2006

Holographic Hall conductivities from dyonic backgrounds journal, July 2015

Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity text, January 2005

Conformal symmetry breaking and thermodynamics of near-extremal black holes journal, October 2016

Exact microstate counting for dyonic black holes in AdS4 journal, August 2017

QUANTUM ENTROPY FUNCTION FROM AdS 2 / CFT 1 CORRESPONDENCE journal, September 2009

Conformally Coupled Scalars, Instantons, and Vacuum Instability in 4D Anti-de Sitter Space journal, June 2007

Black hole entropy in massive Type IIA journal, January 2018

Boundary terms and three-point functions: an AdS/CFT puzzle resolved journal, June 2017

Flow equations for non-BPS extremal black holes journal, March 2007

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index text, January 2017

Positive energy in anti-de Sitter backgrounds and gauged extended supergravity journal, September 1982

The holographic quantum effective potential at finite temperature and density text, January 2012

Static BPS Black Holes in AdS4 with General Dyonic Charges text, January 2014

Holographic RG flow and the Quantum Effective Action text, January 2014

First order description of static black holes and the Hamilton–Jacobi equation journal, July 2010

On the On-Shell: The Action of AdS$_4$ Black Holes text, January 2017

Correlation Functions in Holographic RG Flows text, January 2004

Entropy function and AdS 2 / CFT 1 correspondence journal, November 2008

Thermodynamics of asymptotically locally AdS spacetimes journal, August 2005

Black hole microstates in AdS$_4$ from supersymmetric localization text, January 2015

A topologically twisted index for three-dimensional supersymmetric theories text, January 2015

Black hole entropy function and the attractor mechanism in higher derivative gravity journal, September 2005

N =2 extremal black holes journal, November 1995

Correlation Functions in Holographic RG Flows journal, October 2004

Embedding AdS black holes in ten and eleven dimensions journal, October 1999

On the non-BPS first order flow in $ \mathcal{N} $ = 2 U(1)-gauged Supergravity journal, March 2013

The holography of F -maximization journal, March 2014

Holographic Hall conductivities from dyonic backgrounds preprint, January 2015

Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved text, January 2016

Supercurrent anomalies in 4d SCFTs text, January 2017

Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes text, January 2017

Thermodynamics of Asymptotically Locally AdS Spacetimes text, January 2005

Embedding AdS Black Holes in Ten and Eleven Dimensions text, January 1999

Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy journal, December 2019

Susy Q and spatially modulated deformations of ABJM theory journal, October 2018

Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges journal, November 2019

Topologically twisted indices in five dimensions and holography journal, November 2018

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes journal, October 2019

On the quantum entropy function in 4d gauged supergravity journal, July 2018

Black hole microstate counting in Type IIB from 5d SCFTs journal, May 2019

Spatially modulated and supersymmetric deformations of ABJM theory journal, April 2019

Susy Q and spatially modulated deformations of ABJM theory text, January 2018

Localization of the action in AdS/CFT journal, October 2019

Spatially modulated and supersymmetric deformations of ABJM theory text, January 2018

The BPS limit of rotating AdS black hole thermodynamics journal, September 2019

Geometry of $\mathcal{I}$-extremization and black holes microstates text, January 2019

Localization of the action in AdS/CFT text, January 2019

5D Rotating Black Holes and the nAdS$_2$/nCFT$_1$ Correspondence text, January 2018

Topologically twisted indices in five dimensions and holography text, January 2018

Spatially modulated and supersymmetric deformations of ABJM theory journal, April 2019

Susy Q and spatially modulated deformations of ABJM theory journal, October 2018

Topologically twisted indices in five dimensions and holography journal, November 2018

Subleading Microstate Counting in the Dual to Massive Type IIA preprint, January 2018

6D attractors and black hole microstates text, January 2018

The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy text, January 2019

Holographic Uniformization and Black Hole Attractors text, January 2020

Flow Equations for Non-BPS Extremal Black Holes
text, January 2007

Holographic RG flow and the quantum effective action
journal, April 2014

Black hole microstates in AdS4 from supersymmetric localization
journal, May 2016

Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization
text, January 2017

First Order Description of Black Holes in Moduli Space
text, January 2007

Macroscopic entropy of N = 2 extremal black holes
journal, August 1996

Thermodynamics of Asymptotically Locally AdS Spacetimes
text, January 2005

N=2 Extremal Black Holes
text, January 1995

Exact microstate counting for dyonic black holes in AdS4
text, January 2016

Macroscopic Entropy of $N=2$ Extremal Black Holes
text, January 1996

Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations
journal, February 2007

Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
text, January 2017

First order description of black holes in moduli space
journal, November 2007

Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT
journal, May 2007

Supersymmetric AdS_4 black holes and attractors
text, January 2009

Phases of planar AdS black holes with axionic charge
text, January 2016

Logarithmic corrections to entropy of magnetically charged AdS 4 black holes
journal, November 2017

Holographic Renormalization of general dilaton-axion gravity
text, January 2011

Extremal limits and black hole entropy
journal, November 2009

Euclidean and Noetherian entropies in AdS space
journal, August 2006

Holographic Hall conductivities from dyonic backgrounds
journal, July 2015

Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
text, January 2005

Conformal symmetry breaking and thermodynamics of near-extremal black holes
journal, October 2016

Exact microstate counting for dyonic black holes in AdS4
journal, August 2017

QUANTUM ENTROPY FUNCTION FROM AdS ₂ / CFT ₁ CORRESPONDENCE
journal, September 2009

Conformally Coupled Scalars, Instantons, and Vacuum Instability in 4D Anti-de Sitter Space
journal, June 2007

Black hole entropy in massive Type IIA
journal, January 2018

Boundary terms and three-point functions: an AdS/CFT puzzle resolved
journal, June 2017

Flow equations for non-BPS extremal black holes
journal, March 2007

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Microstate Counting of $AdS_4$ Hyperbolic Black Hole Entropy via the Topologically Twisted Index
text, January 2017

Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982

The holographic quantum effective potential at finite temperature and density
text, January 2012

Static BPS Black Holes in AdS4 with General Dyonic Charges
text, January 2014

Holographic RG flow and the Quantum Effective Action
text, January 2014

First order description of static black holes and the Hamilton–Jacobi equation
journal, July 2010

On the On-Shell: The Action of AdS$_4$ Black Holes
text, January 2017

Correlation Functions in Holographic RG Flows
text, January 2004

Entropy function and AdS ₂ / CFT ₁ correspondence
journal, November 2008

Thermodynamics of asymptotically locally AdS spacetimes
journal, August 2005

Black hole microstates in AdS$_4$ from supersymmetric localization
text, January 2015

A topologically twisted index for three-dimensional supersymmetric theories
text, January 2015

Black hole entropy function and the attractor mechanism in higher derivative gravity
journal, September 2005

N =2 extremal black holes
journal, November 1995

Correlation Functions in Holographic RG Flows
journal, October 2004

Embedding AdS black holes in ten and eleven dimensions
journal, October 1999

On the non-BPS first order flow in $ \mathcal{N} $ = 2 U(1)-gauged Supergravity
journal, March 2013

The holography of F -maximization
journal, March 2014

Holographic Hall conductivities from dyonic backgrounds
preprint, January 2015

Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
text, January 2016

Supercurrent anomalies in 4d SCFTs
text, January 2017

Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
text, January 2017

Thermodynamics of Asymptotically Locally AdS Spacetimes
text, January 2005

Embedding AdS Black Holes in Ten and Eleven Dimensions
text, January 1999

Topologically twisted index in the ’t Hooft limit and the dual ${AdS}_{4}$ black hole entropy
journal, December 2019

Susy Q and spatially modulated deformations of ABJM theory
journal, October 2018

Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges
journal, November 2019

Topologically twisted indices in five dimensions and holography
journal, November 2018

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes
journal, October 2019

On the quantum entropy function in 4d gauged supergravity
journal, July 2018

Black hole microstate counting in Type IIB from 5d SCFTs
journal, May 2019

Spatially modulated and supersymmetric deformations of ABJM theory
journal, April 2019

Susy Q and spatially modulated deformations of ABJM theory
text, January 2018

Localization of the action in AdS/CFT
journal, October 2019

Spatially modulated and supersymmetric deformations of ABJM theory
text, January 2018

The BPS limit of rotating AdS black hole thermodynamics
journal, September 2019

Geometry of $\mathcal{I}$-extremization and black holes microstates
text, January 2019

Localization of the action in AdS/CFT
text, January 2019

5D Rotating Black Holes and the nAdS$_2$/nCFT$_1$ Correspondence
text, January 2018

Topologically twisted indices in five dimensions and holography
text, January 2018

Spatially modulated and supersymmetric deformations of ABJM theory
journal, April 2019

Susy Q and spatially modulated deformations of ABJM theory
journal, October 2018

Topologically twisted indices in five dimensions and holography
journal, November 2018

Subleading Microstate Counting in the Dual to Massive Type IIA
preprint, January 2018

6D attractors and black hole microstates
text, January 2018

The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS$_4$ Black Hole Entropy
text, January 2019

Holographic Uniformization and Black Hole Attractors
text, January 2020

Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
text, January 2020

The Hamilton-Jacobi Equation and Holographic Renormalization Group Flows on Sphere
text, January 2020

Boundary Conditions in Topological AdS$_4$/CFT$_3$
text, January 2020