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Title: Holographic entanglement for Chern-Simons terms

Abstract

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$$_{2k+1}$$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic replica geometry and second by a descent of Dong's derivation applied to the corresponding anomaly polynomial. In lower dimensions $(k=1,2)$, the formula coincides with the Wald-Tachikawa formula for black hole entropy from gravitational CS terms. New extrinsic curvature corrections appear for $$k\geq 3$$ : we give explicit and concise expressions for the two pure gravitational CS terms in AdS$$_7$$ and present various consistency checks, including agreements with the black hole entropy formula when evaluated at the bifurcation surface.

Authors:
 [1];  [2];  [3]
  1. Centre National de la Recherche Scientifique (CNRS), Paris (France). Ecole Normale Supérieure
  2. Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  3. McGill Univ., Montreal, QC (Canada)
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
Galileo Galilei Institute; Okinawa Institute of Science and Technology
OSTI Identifier:
1599349
Grant/Contract Number:  
SC0009988; ANR-10-LABX-0010; ANR-10-IDEX-0001-02
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; Anomalies in Field and String Theories; Gauge-gravity correspondence

Citation Formats

Azeyanagi, Tatsuo, Loganayagam, R., and Ng, Gim Seng. Holographic entanglement for Chern-Simons terms. United States: N. p., 2017. Web. doi:10.1007/JHEP02(2017)001.
Azeyanagi, Tatsuo, Loganayagam, R., & Ng, Gim Seng. Holographic entanglement for Chern-Simons terms. United States. https://doi.org/10.1007/JHEP02(2017)001
Azeyanagi, Tatsuo, Loganayagam, R., and Ng, Gim Seng. 2017. "Holographic entanglement for Chern-Simons terms". United States. https://doi.org/10.1007/JHEP02(2017)001. https://www.osti.gov/servlets/purl/1599349.
@article{osti_1599349,
title = {Holographic entanglement for Chern-Simons terms},
author = {Azeyanagi, Tatsuo and Loganayagam, R. and Ng, Gim Seng},
abstractNote = {We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic replica geometry and second by a descent of Dong's derivation applied to the corresponding anomaly polynomial. In lower dimensions $(k=1,2)$, the formula coincides with the Wald-Tachikawa formula for black hole entropy from gravitational CS terms. New extrinsic curvature corrections appear for $k\geq 3$ : we give explicit and concise expressions for the two pure gravitational CS terms in AdS$_7$ and present various consistency checks, including agreements with the black hole entropy formula when evaluated at the bifurcation surface.},
doi = {10.1007/JHEP02(2017)001},
url = {https://www.osti.gov/biblio/1599349}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 2,
volume = 2017,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}

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Works referenced in this record:

Building up spacetime with quantum entanglement
journal, June 2010


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


Holographic Thermal Helicity
journal, August 2014


Generalized gravitational entropy without replica symmetry
journal, March 2015


On the architecture of spacetime geometry
journal, October 2014


Anomalies and fermion zero modes on strings and domain walls
journal, January 1985


Towards a derivation of holographic entanglement entropy
journal, May 2011


Gravity duals of boundary cones
journal, September 2016


Holographic entanglement entropy and gravitational anomalies
journal, July 2014


Entropy discrepancy and total derivatives in trace anomaly
journal, December 2015


On holographic entanglement entropy and higher curvature gravity
journal, April 2011


Conditions on holographic entangling surfaces in higher curvature gravity
journal, June 2014


Anomalies and entanglement entropy
journal, March 2016


Black hole entropy in the presence of Chern–Simons terms
journal, January 2007


Holographic entanglement entropy for the most general higher derivative gravity
journal, August 2015


Anomaly inflow and thermal equilibrium
journal, May 2014


A note on the resolution of the entropy discrepancy
journal, October 2015


A covariant holographic entanglement entropy proposal
journal, July 2007


Gravitational Chern-Simons Lagrangians and black hole entropy
journal, July 2011


The Wald entropy and 6d conformal anomaly
journal, October 2015


On generalized gravitational entropy, squashed cones and holography
journal, January 2014


A Second Law for higher curvature gravity
journal, October 2015


Generalized entropy and higher derivative gravity
journal, March 2014


Aspects of holographic entanglement entropy
journal, August 2006


Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994


Covariant Noether charge for higher dimensional Chern-Simons terms
journal, April 2015


BTZ black hole with Chern-Simons and higher derivative terms
journal, July 2006


Entanglement entropy: a perturbative calculation
journal, December 2014


Corner contributions to holographic entanglement entropy
journal, August 2015


Anomalies, Chern-Simons terms and black hole entropy
journal, September 2015


On entanglement entropy functionals in higher-derivative gravity theories
journal, October 2014


Holographic entanglement entropy in Lovelock gravities
journal, July 2011


Universal terms of entanglement entropy for 6d CFTs
journal, October 2015


Higher derivative corrections to holographic entanglement entropy for AdS solitons
journal, October 2011


Entropy for gravitational Chern-Simons terms by squashed cone method
journal, April 2016


A note on holographic Weyl anomaly and entanglement entropy
journal, February 2014


Note on Chern-Simons term correction to holographic entanglement entropy
journal, May 2009


Generalized gravitational entropy
journal, August 2013


Chern-Simons terms from thermal circles and anomalies
journal, May 2014


Holographic entanglement entropy for general higher derivative gravity
journal, January 2014


Black hole entropy is the Noether charge
journal, October 1993


Constraining gravity using entanglement in AdS/CFT
journal, May 2014


Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories
journal, August 2000


Proof of the holographic formula for entanglement entropy
journal, September 2006


Entanglement entropy in higher derivative holography
journal, August 2013


Central Charges of Liouville and Toda Theories from M 5 -Branes
journal, September 2010


Four-dimensional SCFTs from M5-branes
journal, June 2012


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