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:
-
- Centre National de la Recherche Scientifique (CNRS), Paris (France). Ecole Normale Supérieure
- Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
- 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}
}
Web of Science
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