Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Monstrous entanglement

Abstract

The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Rényi entropies of this theory along with other extremal CFTs. The Rényi entropies of a single interval on the torus are evaluated using the short interval expansion. Each order in the expansion contains closed form expressions in the modular parameter. The leading terms in the q-series are shown to precisely agree with the universal corrections to Rényi entropies at low temperatures. Furthermore, these results are shown to match with bulk computations of Rényi entropy using the one-loop partition function on handlebodies. We also explore some features of Rényi entropies of two intervals on the plane.

Authors:
 [1];  [2];  [1]
+ Show Author Affiliations
  1. Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics
  2. Eidgenossische Technische Hochschule (ETH) Zurich, Zurich (Switzerland). Institut fur Theoretische Physik
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1504755
Grant/Contract Number:  
SC0009919
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: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal Field Theory; AdS-CFT Correspondence; Field Theories in Lower Dimensions; Discrete Symmetries

Citation Formats

Das, Diptarka, Datta, Shouvik, and Pal, Sridip. Monstrous entanglement. United States: N. p., 2017. Web. doi:10.1007/jhep10(2017)147.
Copy to clipboard
Das, Diptarka, Datta, Shouvik, & Pal, Sridip. Monstrous entanglement. United States. https://doi.org/10.1007/jhep10(2017)147
Copy to clipboard
Das, Diptarka, Datta, Shouvik, and Pal, Sridip. Fri . "Monstrous entanglement". United States. https://doi.org/10.1007/jhep10(2017)147. https://www.osti.gov/servlets/purl/1504755.
Copy to clipboard
@article{osti_1504755,
title = {Monstrous entanglement},
author = {Das, Diptarka and Datta, Shouvik and Pal, Sridip},
abstractNote = {The Monster CFT plays an important role in moonshine and is also conjectured to be the holographic dual to pure gravity in AdS3. We investigate the entanglement and Rényi entropies of this theory along with other extremal CFTs. The Rényi entropies of a single interval on the torus are evaluated using the short interval expansion. Each order in the expansion contains closed form expressions in the modular parameter. The leading terms in the q-series are shown to precisely agree with the universal corrections to Rényi entropies at low temperatures. Furthermore, these results are shown to match with bulk computations of Rényi entropy using the one-loop partition function on handlebodies. We also explore some features of Rényi entropies of two intervals on the plane.},
doi = {10.1007/jhep10(2017)147},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {Fri Oct 20 00:00:00 EDT 2017},
month = {Fri Oct 20 00:00:00 EDT 2017}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/jhep10(2017)147
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Quantum gravity partition functions in three dimensions
journal, February 2010

  • Maloney, Alexander; Witten, Edward
  • Journal of High Energy Physics, Vol. 2010, Issue 2
  • DOI: 10.1007/JHEP02(2010)029

Anomalies of the entanglement entropy in chiral theories
journal, October 2016

Nonlinear gravity from entanglement in conformal field theories
journal, August 2017

  • Faulkner, Thomas; Haehl, Felix M.; Hijano, Eliot
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)057

On the architecture of spacetime geometry
journal, October 2014

Universal Thermal Corrections to Single Interval Entanglement Entropy for Two Dimensional Conformal Field Theories
journal, April 2014

Monstrous Branes
journal, March 2003

  • Craps, Ben; Gaberdiel, Matthias R.; Harvey, Jeffrey A.
  • Communications in Mathematical Physics, Vol. 234, Issue 2
  • DOI: 10.1007/s00220-002-0763-7

Monster symmetry and extremal CFTs
journal, November 2012

Holography and Riemann surfaces
journal, January 2000

Supersymmetric Renyi entropy in CFT 2 and AdS 3
journal, January 2016

Rényi entropy of a free compact boson on a torus
journal, May 2015

Short interval expansion of Rényi entropy on torus
journal, August 2016

  • Chen, Bin; Wu, Jun-Bao; Zhang, Jia-ju
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)130

Entropic counterpart of perturbative Einstein equation
journal, October 2013

  • Bhattacharya, Jyotirmoy; Takayanagi, Tadashi
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)219

Holographic entanglement entropy and gravitational anomalies
journal, July 2014

  • Castro, Alejandra; Detournay, Stephane; Iqbal, Nabil
  • Journal of High Energy Physics, Vol. 2014, Issue 7
  • DOI: 10.1007/JHEP07(2014)114

Smoothed transitions in higher spin AdS gravity
journal, May 2013

A modern fareytail
journal, January 2010

Relating leptogenesis parameters to light neutrino masses
journal, July 2007

Entanglement in many-body systems
journal, May 2008

AdS 3 partition functions reconstructed
journal, October 2007

Conformal perturbation theory and higher spin entanglement entropy on the torus
journal, April 2015

  • Datta, Shouvik; David, Justin R.; Kumar, S. Prem
  • Journal of High Energy Physics, Vol. 2015, Issue 4
  • DOI: 10.1007/JHEP04(2015)041

Some aspects of conformal field theories on the plane and higher genus Riemann surfaces
journal, September 1990

Single interval Rényi entropy at low temperature
journal, August 2014

Three-dimensional AdS gravity and extremal CFTs at c = 8 m
journal, November 2007

  • Avramis, Spyros D.; Kehagias, Alex; Mattheopoulou, Constantina
  • Journal of High Energy Physics, Vol. 2007, Issue 11
  • DOI: 10.1088/1126-6708/2007/11/022

Partition functions of three-dimensional pure gravity
journal, January 2008

Small black holes and near-extremal CFTs
journal, August 2016

  • Benjamin, Nathan; Dyer, Ethan; Fitzpatrick, A. Liam
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)023

Conformal and current algebras on a general Riemann surface
journal, January 1987

Umbral moonshine
journal, January 2014

  • Cheng, Miranda C. N.; Duncan, John F. R.; Harvey, Jeffrey A.
  • Communications in Number Theory and Physics, Vol. 8, Issue 2
  • DOI: 10.4310/CNTP.2014.v8.n2.a1

Rényi entropies of free bosons on the torus and holography
journal, April 2014

Universal Features of Left-Right Entanglement Entropy
journal, September 2015

Rényi entropies, the analytic bootstrap, and 3D quantum gravity at higher genus
journal, July 2015

  • Headrick, Matthew; Maloney, Alexander; Perlmutter, Eric
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)059

Rademacher sums, moonshine and gravity
journal, January 2011

  • Duncan, John F. R.; Frenkel, Igor B.
  • Communications in Number Theory and Physics, Vol. 5, Issue 4
  • DOI: 10.4310/CNTP.2011.v5.n4.a4

Entanglement entropy of a massive fermion on a torus
journal, March 2013

  • Herzog, Christopher P.; Nishioka, Tatsuma
  • Journal of High Energy Physics, Vol. 2013, Issue 3
  • DOI: 10.1007/JHEP03(2013)077

Meromorphicc=24 conformal field theories
journal, April 1993

  • Schellekens, A. N.
  • Communications in Mathematical Physics, Vol. 153, Issue 1
  • DOI: 10.1007/BF02099044

Exact Path Integral for 3D Quantum Gravity
journal, October 2015

Correlation Functions for M N / S N Orbifolds
journal, May 2001

  • Lunin, Oleg; Mathur, Samir D.
  • Communications in Mathematical Physics, Vol. 219, Issue 2
  • DOI: 10.1007/s002200100431

Bulk emergence and the RG flow of entanglement entropy
journal, May 2015

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

BKM Lie superalgebras from dyon spectra in Z N CHL orbifolds for composite N
journal, May 2010

  • Govindarajan, Suresh; Gopala Krishna, K.
  • Journal of High Energy Physics, Vol. 2010, Issue 5
  • DOI: 10.1007/JHEP05(2010)014

Modular covariance of minimal model correlation functions
journal, March 1989

  • Felder, G.; Silvotti, R.
  • Communications In Mathematical Physics, Vol. 123, Issue 1
  • DOI: 10.1007/BF01244015

Higher genus partition functions of meromorphic conformal field theories
journal, June 2009

Moonshine
journal, July 2015

  • Duncan, John FR; Griffin, Michael J.; Ono, Ken
  • Research in the Mathematical Sciences, Vol. 2, Issue 1
  • DOI: 10.1186/s40687-015-0029-6

Modular invariance and entanglement entropy
journal, June 2015

  • Lokhande, Sagar Fakirchand; Mukhi, Sunil
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)106

Notes on the K3 Surface and the Mathieu Group M 24
journal, March 2011

On Genus Two Riemann Surfaces Formed from Sewn Tori
journal, January 2007

  • Mason, Geoffrey; Tuite, Michael P.
  • Communications in Mathematical Physics, Vol. 270, Issue 3
  • DOI: 10.1007/s00220-006-0163-5

Quantum corrections to holographic entanglement entropy
journal, November 2013

  • Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)074

Monstrous Moonshine
journal, October 1979

  • Conway, J. H.; Norton, S. P.
  • Bulletin of the London Mathematical Society, Vol. 11, Issue 3
  • DOI: 10.1112/blms/11.3.308

Chiral gravity in three dimensions
journal, April 2008

Left-right entanglement entropy of boundary states
journal, January 2015

  • Pando Zayas, Leopoldo A.; Quiroz, Norma
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)110

Monstrous moonshine and monstrous Lie superalgebras
journal, December 1992

  • Borcherds, Richard E.
  • Inventiones Mathematicae, Vol. 109, Issue 1
  • DOI: 10.1007/BF01232032

Genus two partition functions of chiral conformal field theories
journal, January 2010

  • Gaberdiel, Matthias R.; Keller, Christoph A.; Volpato, Roberto
  • Communications in Number Theory and Physics, Vol. 4, Issue 2
  • DOI: 10.4310/CNTP.2010.v4.n2.a2

Left-right entanglement entropy of Dp-branes
journal, November 2016

  • Zayas, Leopoldo A. Pando; Quiroz, Norma
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/jhep11(2016)023

Holographic entanglement entropy and gravitational anomalies
text, January 2014

On Genus Two Riemann Surfaces Formed from Sewn Tori
text, January 2006

Genus Two Meromorphic Conformal Field Theory
text, January 1999

    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: