Rotating black hole entropy from M5-branes

Benini, Francesco; Gang, Dongmin; Pando Zayas, Leopoldo A.

doi:10.1007/jhep03(2020)057

Title: Rotating black hole entropy from M5-branes

Abstract

We compute the superconformal index of 3d N = 2 superconformal field theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of SL(N, C) Chern-Simons theory to determine the superconformal index in the large N limit, including corrections logarithmic in N. The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS₄ black holes. We also verify that the supergravity one-loop contribution to the log N term coincides with the field theoretic result. We propose a 3d-3d formulation for the refined topologically twisted index, and provide strong evidence in support of its vanishing — which agrees with the fact that the expected dual rotating magnetically-charged black hole does not exist. This provides an interesting link between gravity and a tantalizing mathematical result.

Authors:

Benini, Francesco ^[1]; Gang, Dongmin ^[2]; Pando Zayas, Leopoldo A. ^[3]

SISSA, Trieste (Italy); INFN, Sezione di Trieste (Italy); ICTP, Trieste (Italy)
Korea Institute for Advanced Study, Seoul (Korea); Asia Paciﬁc Center for Theoretical Physics (APCTP), Pohang (Korea)
ICTP, Trieste (Italy); University of Michigan, Ann Arbor, MI (United States)

Publication Date:: 2020-03-10

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

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); NRF; MIUR-SIR

OSTI Identifier:: 1650709

Grant/Contract Number:: SC0007859; 2019R1A2C2004880; RBSI1471GJ

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: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Black Holes in String Theory; Chern-Simons Theories; Gauge-gravity correspondence; Models of Quantum Gravity

Citation Formats


                    Benini, Francesco, Gang, Dongmin, and Pando Zayas, Leopoldo A. Rotating black hole entropy from M5-branes.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep03(2020)057.

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                    Benini, Francesco, Gang, Dongmin, & Pando Zayas, Leopoldo A. Rotating black hole entropy from M5-branes.  United States.  https://doi.org/10.1007/jhep03(2020)057

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                    Benini, Francesco, Gang, Dongmin, and Pando Zayas, Leopoldo A. Tue .  
"Rotating black hole entropy from M5-branes".  United States.  https://doi.org/10.1007/jhep03(2020)057.  https://www.osti.gov/servlets/purl/1650709.

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@article{osti_1650709,

  title        = {Rotating black hole entropy from M5-branes},

  author       = {Benini, Francesco and Gang, Dongmin and Pando Zayas, Leopoldo A.},

  abstractNote = {We compute the superconformal index of 3d N = 2 superconformal field theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of SL(N, C) Chern-Simons theory to determine the superconformal index in the large N limit, including corrections logarithmic in N. The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS4 black holes. We also verify that the supergravity one-loop contribution to the log N term coincides with the field theoretic result. We propose a 3d-3d formulation for the refined topologically twisted index, and provide strong evidence in support of its vanishing — which agrees with the fact that the expected dual rotating magnetically-charged black hole does not exist. This provides an interesting link between gravity and a tantalizing mathematical result.},

  doi          = {10.1007/jhep03(2020)057},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Precision microstate counting for the entropy of wrapped M5-branes

Journal Article Gang, Dongmin ; Kim, Nakwoo ; Pando Zayas, Leopoldo A. - Journal of High Energy Physics (Online)

We study the large N expansion of twisted partition functions of 3d N = 2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3- manifold, M₃. Via the 3d-3d correspondence, the partition functions of these 3d N = 2 superconformal field theories are related to simple topological invariants on the 3-manifold. The partition functions can be expressed using only classical and one-loop perturbative invariants of PSL(N, C) Chern-Simons theory around irreducible flat connections on M₃. Using mathematical results on the asymptotics of the invariants, we compute the twisted partition functions in the large N limit including perturbativemore »« less
Cited by 22
https://doi.org/10.1007/jhep03(2020)164

Full Text Available
AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Journal Article Bah, Ibrahima - Journal of High Energy Physics (Online)

Here, we describe the gravity duals of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS 5 factor, generically preserves two U(1)s, with generators (J⁺, J^–), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampère equation. The spectrum of N = 1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this systemmore »« less
Cited by 25
https://doi.org/10.1007/JHEP09(2015)163

Full Text Available
Topologically twisted index in the ’t Hooft limit and the dual ${AdS}_{4}$ black hole entropy

Journal Article Pando Zayas, Leopoldo A. ; Xin, Yu - Physical Review D

We study the topologically twisted index of N = 6 supersymmetric Chern-Simons matter theory with U(N)_k × U(N) _–k gauge group in the ’t Hooft limit, that is, for N, k → ∞ with λ = N/k fixed. In the regime where λ is fixed and large we find an analytical expression for the leading order term of the index. The leading term of the index matches precisely the Bekenstein-Hawking entropy of the dual asymptotically AdS₄ magnetically charged black holes embedded in IIA supergrvity on AdS₄ × CP³, after a standard Legendre transformation. We numerically explore the genus expansion ofmore »« less
Cited by 12
https://doi.org/10.1103/PhysRevD.100.126019
M5-brane defect and quantum Hall effect in AdS{sub 4}xN(1,1)/N=3 superconformal field theory

Journal Article Fujita, Mitsutoshi - Physical Review. D, Particles Fields

We study the d=11 gravity dual AdS{sub 4}xN(1,1) of the d=3 N=3 flavored Chern-Simons-matter theory. In the dual gravity side, we analyze the M5-brane filling AdS{sub 3} inside AdS{sub 4} and derive the quantized Hall conductivity of the dual gauge theory. In the gauge theory side, this M5-brane intersects the gauge theory at the codimension-one defect.
https://doi.org/10.1103/PHYSREVD.83.105016
Quiver tails and $$\mathcal{N}=1 $$ SCFTs from M5-branes

Journal Article Agarwal, Prarit ; Bah, Ibrahima ; Maruyoshi, Kazunobu ; ... - Journal of High Energy Physics (Online)

We study a class of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a Riemann surface with punctures. We identify fourdimensional UV descriptions of the SCFTs corresponding to curves with a class of punctures. The quiver tails appearing in these UV descriptions differ significantly from their N = 2 counterpart. We find a new type of object that we call the ‘Fan’. We show how to construct new N = 1 superconformal theories using the Fan. Various dual descriptions for these SCFTs can be identified with different colored pair-of-pants decompositions. For example, we find an Nmore »« less
Cited by 39
https://doi.org/10.1007/JHEP03(2015)049

Full Text Available

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Title: Rotating black hole entropy from M5-branes

Abstract

Citation Formats

N = 2 dualities journal, August 2012

Rotating BPS black holes in matter-coupled AdS4 supergravity journal, July 2011

Quantized antisymmetric tensor fields and self-consistent dimensional reduction in higher-dimensional spacetimes journal, January 1985

Black holes and the second law journal, August 1972

5d partition functions with a twist journal, November 2018

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

Spontaneous compactification of seven-dimensional supergravity theories journal, September 1985

Black hole explosions? journal, March 1974

A universal counting of black hole microstates in AdS4 journal, February 2018

BPS M5-branes as defects for the 3d-3d correspondence journal, November 2014

Comments on twisted indices in 3d supersymmetric gauge theories journal, August 2016

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

Wrapped M5-branes, consistent truncations and AdS/CMT journal, December 2010

S-duality resurgence in SL(2) Chern-Simons theory journal, July 2018

Quantum Riemann surfaces in Chern-Simons theory journal, January 2013

Aspects of 3d $ \mathcal{N}=2 $ Chern-Simons-Matter theories journal, July 2013

Gauge Theories Labelled by Three-Manifolds journal, December 2013

$${\mathcal{N} = 2}$$ N = 2 Supersymmetric AdS4 Solutions of M-theory journal, December 2013

Microstate counting of AdS 4 hyperbolic black hole entropy via the topologically twisted index journal, August 2017

Holographic microstate counting for AdS4 black holes in massive IIA supergravity journal, October 2017

Heat kernel expansion: user's manual journal, December 2003

Hidden ghosts journal, June 1980

Solitonic black holes in gauged N = 2 supergravity journal, March 1996

Rotating attractors and BPS black holes in AdS4 journal, January 2019

AdS spacetimes from wrapped M5 branes journal, November 2006

One-loop determinants for black holes in 4d gauged supergravity journal, November 2019

Superconformal index and 3d-3d correspondence for mapping cylinder/torus journal, January 2014

Supersymmetry of anti-de Sitter black holes journal, April 1999

Minimal D = 4 N $$ \mathcal{N} $$ = 2 supergravity from D = 11: an M-theory free lunch journal, October 2019

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals journal, October 2008

Large N matrix models for 3d N $$ \mathcal{N} $$ = 2 theories: twisted index, free energy and black holes journal, August 2016

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

The quantum content of the gluing equations journal, January 2013

Holomorphic blocks in three dimensions journal, December 2014

Universal spinning black holes and theories of class R$$ \mathcal{R} $$ journal, December 2019

Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity journal, January 2018

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

The gravity dual of supersymmetric gauge theories on a squashed three-sphere journal, November 2012

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

Holography of 3d-3d correspondence at large N journal, April 2015

K-decompositions and 3d gauge theories journal, November 2016

SUSY gauge theories on squashed three-spheres journal, May 2011

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

Mirrors of 3d Sicilian theories journal, September 2010

A topologically twisted index for three-dimensional supersymmetric theories journal, July 2015

Supersymmetric vacua of mass-deformed M2-brane theory journal, November 2010

The Cardy limit of the topologically twisted index and black strings in AdS5 journal, April 2017

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

Aspects of defects in 3d-3d correspondence journal, October 2016

All-Order Volume Conjecture for Closed 3-Manifolds from Complex Chern–Simons Theory journal, March 2018

Exact results for perturbative Chern–Simons theory with complex gauge group journal, January 2009

A one-loop test of quantum supergravity journal, November 2013

3-Manifolds and 3d indices journal, January 2013

Chern-Simons theory and S-duality journal, May 2013

Fivebranes and 3-manifold homology journal, July 2017

Seifert fibering operators in 3d N = 2 $$ \mathcal{N}=2 $$ theories journal, November 2018

Microscopic origin of the Bekenstein-Hawking entropy journal, June 1996

Partition Functions of $${\mathcal{N}=(2,2)}$$ N = ( 2 , 2 ) Gauge Theories on S 2 and Vortices journal, July 2014

Higgs branch localization in three dimensions journal, May 2014

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates journal, February 2012

3d Chern-Simons theory from M5-branes journal, December 2013

R-Torsion and the Laplacian on Riemannian manifolds journal, October 1971

Particle creation by black holes journal, August 1975

Minimal D 4 truncations of type I lA journal, November 2019

Holography of wrapped M5-branes and Chern–Simons theory journal, June 2014

Entropy Functions of BPS Black Holes in AdS4 and AdS6 journal, January 2020

3d N = 2 $$ \mathcal{N}=2 $$ minimal SCFTs from wrapped M5-branes journal, August 2017

One-Loop Test of Quantum Black Holes in anti–de Sitter Space journal, June 2018

3d TQFT from 6d SCFT journal, August 2013

Symmetry enhancement and closing of knots in 3d/3d correspondence journal, July 2018

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

Black hole entropy in massive Type IIA journal, January 2018

AdS7 black-hole entropy and 5D $$ \mathcal{N} $$ = 2 Yang-Mills journal, January 2020

AdS black holes, holography and localization journal, August 2020

Smallest 3d hyperbolic manifolds via simple 3d theories journal, September 2017

$${SL(2, \mathbb{C})}$$ Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial journal, November 2008

3d-3d correspondence revisited journal, April 2016

N = 2 dualities
journal, August 2012

Rotating BPS black holes in matter-coupled AdS4 supergravity
journal, July 2011

Quantized antisymmetric tensor fields and self-consistent dimensional reduction in higher-dimensional spacetimes
journal, January 1985

Black holes and the second law
journal, August 1972

5d partition functions with a twist
journal, November 2018

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

Spontaneous compactification of seven-dimensional supergravity theories
journal, September 1985

Black hole explosions?
journal, March 1974

A universal counting of black hole microstates in AdS4
journal, February 2018

BPS M5-branes as defects for the 3d-3d correspondence
journal, November 2014

Comments on twisted indices in 3d supersymmetric gauge theories
journal, August 2016

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

Wrapped M5-branes, consistent truncations and AdS/CMT
journal, December 2010

S-duality resurgence in SL(2) Chern-Simons theory
journal, July 2018

Quantum Riemann surfaces in Chern-Simons theory
journal, January 2013

Aspects of 3d $ \mathcal{N}=2 $ Chern-Simons-Matter theories
journal, July 2013

Gauge Theories Labelled by Three-Manifolds
journal, December 2013

$${\mathcal{N} = 2}$$ N = 2 Supersymmetric AdS4 Solutions of M-theory
journal, December 2013

Microstate counting of AdS 4 hyperbolic black hole entropy via the topologically twisted index
journal, August 2017

Holographic microstate counting for AdS4 black holes in massive IIA supergravity
journal, October 2017

Heat kernel expansion: user's manual
journal, December 2003

Hidden ghosts
journal, June 1980

Solitonic black holes in gauged N = 2 supergravity
journal, March 1996

Rotating attractors and BPS black holes in AdS4
journal, January 2019

AdS spacetimes from wrapped M5 branes
journal, November 2006

One-loop determinants for black holes in 4d gauged supergravity
journal, November 2019

Superconformal index and 3d-3d correspondence for mapping cylinder/torus
journal, January 2014

Supersymmetry of anti-de Sitter black holes
journal, April 1999

Minimal D = 4 N $$ \mathcal{N} $$ = 2 supergravity from D = 11: an M-theory free lunch
journal, October 2019

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008

Large N matrix models for 3d N $$ \mathcal{N} $$ = 2 theories: twisted index, free energy and black holes
journal, August 2016

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

The quantum content of the gluing equations
journal, January 2013

Holomorphic blocks in three dimensions
journal, December 2014

Universal spinning black holes and theories of class R$$ \mathcal{R} $$
journal, December 2019

Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity
journal, January 2018

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

The gravity dual of supersymmetric gauge theories on a squashed three-sphere
journal, November 2012

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

Holography of 3d-3d correspondence at large N
journal, April 2015

K-decompositions and 3d gauge theories
journal, November 2016

SUSY gauge theories on squashed three-spheres
journal, May 2011

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

Mirrors of 3d Sicilian theories
journal, September 2010

A topologically twisted index for three-dimensional supersymmetric theories
journal, July 2015

Supersymmetric vacua of mass-deformed M2-brane theory
journal, November 2010

The Cardy limit of the topologically twisted index and black strings in AdS5
journal, April 2017

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

Aspects of defects in 3d-3d correspondence
journal, October 2016

All-Order Volume Conjecture for Closed 3-Manifolds from Complex Chern–Simons Theory
journal, March 2018

Exact results for perturbative Chern–Simons theory with complex gauge group
journal, January 2009

A one-loop test of quantum supergravity
journal, November 2013

3-Manifolds and 3d indices
journal, January 2013

Chern-Simons theory and S-duality
journal, May 2013

Fivebranes and 3-manifold homology
journal, July 2017

Seifert fibering operators in 3d N = 2 $$ \mathcal{N}=2 $$ theories
journal, November 2018

Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996

Partition Functions of $${\mathcal{N}=(2,2)}$$ N = ( 2 , 2 ) Gauge Theories on S 2 and Vortices
journal, July 2014

Higgs branch localization in three dimensions
journal, May 2014

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates
journal, February 2012

3d Chern-Simons theory from M5-branes
journal, December 2013

R-Torsion and the Laplacian on Riemannian manifolds
journal, October 1971

Particle creation by black holes
journal, August 1975

Minimal D 4 truncations of type I lA
journal, November 2019

Holography of wrapped M5-branes and Chern–Simons theory
journal, June 2014

Entropy Functions of BPS Black Holes in AdS4 and AdS6
journal, January 2020

3d N = 2 $$ \mathcal{N}=2 $$ minimal SCFTs from wrapped M5-branes
journal, August 2017

One-Loop Test of Quantum Black Holes in anti–de Sitter Space
journal, June 2018

3d TQFT from 6d SCFT
journal, August 2013

Symmetry enhancement and closing of knots in 3d/3d correspondence
journal, July 2018

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

Black hole entropy in massive Type IIA
journal, January 2018

AdS7 black-hole entropy and 5D $$ \mathcal{N} $$ = 2 Yang-Mills
journal, January 2020

AdS black holes, holography and localization
journal, August 2020

Smallest 3d hyperbolic manifolds via simple 3d theories
journal, September 2017

$${SL(2, \mathbb{C})}$$ Chern–Simons Theory and the Asymptotic Behavior of the Colored Jones Polynomial
journal, November 2008

3d-3d correspondence revisited
journal, April 2016

Minimum volume cusped hyperbolic three-manifolds
journal, May 2009

Quasi-conformal mappings inn-space and the rigidity of hyperbolic space forms
journal, January 1968

Embedding the SU(3) sector of SO(8) supergravity in $D = 11$
journal, October 2019