skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy

Abstract

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 of the topologically twisteed index beyond the leading order, focusing on the genus one contribution, that is, N0. We find qualitative agreement with the topological expansion of the free energy on S3 at genus one. Our logarithmic in λ term constitutes a prediction for the one-loop effective action on the IIA supergravity side.

Authors:
ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1579997
Alternate Identifier(s):
OSTI ID: 1656713
Grant/Contract Number:  
SC0007859
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge-gravity dualities; Large-N expansion in field theory; Quantum aspects of black holes

Citation Formats

Pando Zayas, Leopoldo A., and Xin, Yu. Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.126019.
Pando Zayas, Leopoldo A., & Xin, Yu. Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy. United States. doi:10.1103/PhysRevD.100.126019.
Pando Zayas, Leopoldo A., and Xin, Yu. Thu . "Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy". United States. doi:10.1103/PhysRevD.100.126019.
@article{osti_1579997,
title = {Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy},
author = {Pando Zayas, Leopoldo A. and Xin, Yu},
abstractNote = {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 of the topologically twisteed index beyond the leading order, focusing on the genus one contribution, that is, N0. We find qualitative agreement with the topological expansion of the free energy on S3 at genus one. Our logarithmic in λ term constitutes a prediction for the one-loop effective action on the IIA supergravity side.},
doi = {10.1103/PhysRevD.100.126019},
journal = {Physical Review D},
number = 12,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.126019

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Liu, James T.; Pando Zayas, Leopoldo A.; Rathee, Vimal
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)026

Worldsheet derivation of a large N duality
journal, October 2002


String Theory Origin of Dyonic N = 8 Supergravity and Its Chern-Simons Duals
journal, August 2015


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


Instanton corrections of 1/6 BPS Wilson loops in ABJM theory
journal, September 2016


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

  • Benini, Francesco; Hristov, Kiril; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)054

Entropy functional and the holographic attractor mechanism
journal, May 2018

  • Cabo-Bizet, Alejandro; Kol, Uri; Pando Zayas, Leopoldo A.
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)155

Large N twisted partition functions in 3d-3d correspondence and holography
journal, January 2019


Supersymmetric partition functions and the three-dimensional A-twist
journal, March 2017

  • Closset, Cyril; Kim, Heeyeon; Willett, Brian
  • Journal of High Energy Physics, Vol. 2017, Issue 3
  • DOI: 10.1007/JHEP03(2017)074

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

  • Azzurli, Francesco; Bobev, Nikolay; Crichigno, P. Marcos
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)054

Black hole entropy in massive Type IIA
journal, January 2018

  • Benini, Francesco; Khachatryan, Hrachya; Milan, Paolo
  • Classical and Quantum Gravity, Vol. 35, Issue 3
  • DOI: 10.1088/1361-6382/aa9f5b

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


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

  • Benini, Francesco; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)127

Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions
journal, May 2012


ABJM theory as a Fermi gas
journal, March 2012


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

  • Hristov, Kiril; Lodato, Ivano; Reys, Valentin
  • Journal of High Energy Physics, Vol. 2018, Issue 7
  • DOI: 10.1007/JHEP07(2018)072

On the on-shell: the action of AdS4 black holes
journal, March 2018


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


Consistent warped-space Kaluza–Klein reductions, half-maximal gauged supergravities and constructions
journal, March 2001


Microscopic and macroscopic entropy of extremal black holes in string theory
journal, April 2014


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

  • Cabo-Bizet, Alejandro; Giraldo-Rivera, Victor I.; Pando Zayas, Leopoldo A.
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)023

AdS4 solutions of massive IIA from dyonic ISO(7) supergravity
journal, March 2016


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

  • Hosseini, Seyed Morteza; Hristov, Kiril; Passias, Achilleas
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)190

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


Supersymmetric AdS4 black holes and attractors
journal, January 2010

  • Cacciatori, Sergio L.; Klemm, Dietmar
  • Journal of High Energy Physics, Vol. 2010, Issue 1
  • DOI: 10.1007/JHEP01(2010)085

Exact results in ABJM theory from topological strings
journal, June 2010


Summing up all genus free energy of ABJM matrix model
journal, August 2011

  • Fuji, Hiroyuki; Hirano, Shinji; Moriyama, Sanefumi
  • Journal of High Energy Physics, Vol. 2011, Issue 8
  • DOI: 10.1007/JHEP08(2011)001

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


Nonperturbative aspects of ABJM theory
journal, November 2011

  • Drukker, Nadav; Mariño, Marcos; Putrov, Pavel
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)141

Multimatrix models and tri-Sasaki Einstein spaces
journal, February 2011


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


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


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

  • Hosseini, Seyed Morteza; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)064

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

  • Genolini, Pietro Benetti; Ipiña, Juan Manuel Perez; Sparks, James
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/JHEP10(2019)252

The equivariant A-twist and gauged linear sigma models on the two-sphere
journal, June 2015

  • Closset, Cyril; Cremonesi, Stefano; Park, Daniel S.
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)076

Large N topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
journal, August 2016

  • Hosseini, Seyed Morteza; Mekareeya, Noppadol
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)089

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


BPS black holes from massive IIA on S6
journal, September 2017


From Weak to Strong Coupling in ABJM Theory
journal, May 2011

  • Drukker, Nadav; Mariño, Marcos; Putrov, Pavel
  • Communications in Mathematical Physics, Vol. 306, Issue 2
  • DOI: 10.1007/s00220-011-1253-6