Holographic entanglement for Chern-Simons terms

Azeyanagi, Tatsuo; Loganayagam, R.; Ng, Gim Seng

doi:10.1007/JHEP02(2017)001

Title: Holographic entanglement for Chern-Simons terms

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2017)001· OSTI ID:1599349

Azeyanagi, Tatsuo ^[1]; Loganayagam, R. ^[2]; Ng, Gim Seng ^[3]

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)

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.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Galileo Galilei Institute; Okinawa Institute of Science and Technology

Grant/Contract Number:: SC0009988; ANR-10-LABX-0010; ANR-10-IDEX-0001-02

OSTI ID:: 1599349

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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References (48)

Building up spacetime with quantum entanglement Van Raamsdonk, Mark General Relativity and Gravitation, Vol. 42, Issue 10 https://doi.org/10.1007/s10714-010-1034-0	journal	June 2010
Anomalies of the entanglement entropy in chiral theories Iqbal, Nabil; Wall, Aron C. Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)111	journal	October 2016
Holographic Thermal Helicity Azeyanagi, Tatsuo; Loganayagam, R.; Ng, Gim Seng Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)040	journal	August 2014
Generalized gravitational entropy without replica symmetry Camps, Joan; Kelly, William R. Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)061	journal	March 2015
On the architecture of spacetime geometry Bianchi, Eugenio; Myers, Robert C. Classical and Quantum Gravity, Vol. 31, Issue 21 https://doi.org/10.1088/0264-9381/31/21/214002	journal	October 2014
Anomalies and fermion zero modes on strings and domain walls Callan, C. G.; Harvey, J. A. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90489-4	journal	January 1985
Towards a derivation of holographic entanglement entropy Casini, Horacio; Huerta, Marina; Myers, Robert C. Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)036	journal	May 2011
Gravity duals of boundary cones Camps, Joan Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)139	journal	September 2016
Holographic entanglement entropy and gravitational anomalies Castro, Alejandra; Detournay, Stephane; Iqbal, Nabil Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)114	journal	July 2014
Entropy discrepancy and total derivatives in trace anomaly Astaneh, Amin Faraji; Patrushev, Alexander; Solodukhin, Sergey N. Physics Letters B, Vol. 751 https://doi.org/10.1016/j.physletb.2015.10.036	journal	December 2015
On holographic entanglement entropy and higher curvature gravity Hung, Ling-Yan; Myers, Robert C.; Smolkin, Michael Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)025	journal	April 2011
Conditions on holographic entangling surfaces in higher curvature gravity Erdmenger, Johanna; Flory, Mario; Sleight, Charlotte Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)104	journal	June 2014
Anomalies and entanglement entropy Nishioka, Tatsuma; Yarom, Amos Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)077	journal	March 2016
Black hole entropy in the presence of Chern–Simons terms Tachikawa, Yuji Classical and Quantum Gravity, Vol. 24, Issue 3 https://doi.org/10.1088/0264-9381/24/3/014	journal	January 2007
Holographic entanglement entropy for the most general higher derivative gravity Miao, Rong-Xin; Guo, Wu-zhong Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)031	journal	August 2015
Anomaly inflow and thermal equilibrium Jensen, Kristan; Loganayagam, R.; Yarom, Amos Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)134	journal	May 2014
A note on the resolution of the entropy discrepancy Huang, Yue; Miao, Rong-Xin Physics Letters B, Vol. 749 https://doi.org/10.1016/j.physletb.2015.08.039	journal	October 2015
A covariant holographic entanglement entropy proposal Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/062	journal	July 2007
Gravitational Chern-Simons Lagrangians and black hole entropy Bonora, L.; Cvitan, M.; Prester, P. Dominis Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)085	journal	July 2011
The Wald entropy and 6d conformal anomaly Astaneh, Amin Faraji; Solodukhin, Sergey N. Physics Letters B, Vol. 749 https://doi.org/10.1016/j.physletb.2015.07.077	journal	October 2015
On generalized gravitational entropy, squashed cones and holography Bhattacharyya, Arpan; Sharma, Menika; Sinha, Aninda Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)021	journal	January 2014
A Second Law for higher curvature gravity Wall, Aron C. International Journal of Modern Physics D, Vol. 24, Issue 12 https://doi.org/10.1142/S0218271815440149	journal	October 2015
Generalized entropy and higher derivative gravity Camps, Joan Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)070	journal	March 2014
Aspects of holographic entanglement entropy Ryu, Shinsei; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/045	journal	August 2006
Some properties of the Noether charge and a proposal for dynamical black hole entropy Iyer, Vivek; Wald, Robert M. Physical Review D, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevD.50.846	journal	July 1994
Covariant Noether charge for higher dimensional Chern-Simons terms Azeyanagi, Tatsuo; Loganayagam, R.; Ng, Gim Seng Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)041	journal	April 2015
BTZ black hole with Chern-Simons and higher derivative terms Sahoo, Bindusar; Sen, Ashoke Journal of High Energy Physics, Vol. 2006, Issue 07 https://doi.org/10.1088/1126-6708/2006/07/008	journal	July 2006
Entanglement entropy: a perturbative calculation Rosenhaus, Vladimir; Smolkin, Michael Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)179	journal	December 2014
Corner contributions to holographic entanglement entropy Bueno, Pablo; Myers, Robert C. Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)068	journal	August 2015
Anomalies, Chern-Simons terms and black hole entropy Azeyanagi, Tatsuo; Loganayagam, R.; Ng, Gim Seng Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)121	journal	September 2015
On entanglement entropy functionals in higher-derivative gravity theories Bhattacharyya, Arpan; Sharma, Menika Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)130	journal	October 2014
Holographic entanglement entropy in Lovelock gravities de Boer, Jan; Kulaxizi, Manuela; Parnachev, Andrei Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)109	journal	July 2011
Universal terms of entanglement entropy for 6d CFTs Miao, Rong-Xin Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)049	journal	October 2015
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence Ryu, Shinsei; Takayanagi, Tadashi Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.181602	journal	May 2006
Higher derivative corrections to holographic entanglement entropy for AdS solitons Ogawa, Noriaki; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)147	journal	October 2011
Entropy for gravitational Chern-Simons terms by squashed cone method Guo, Wu-Zhong; Miao, Rong-Xin Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)006	journal	April 2016
A note on holographic Weyl anomaly and entanglement entropy Miao, Rong-Xin Classical and Quantum Gravity, Vol. 31, Issue 6 https://doi.org/10.1088/0264-9381/31/6/065009	journal	February 2014
Note on Chern-Simons term correction to holographic entanglement entropy Sun, Jia-Rui Journal of High Energy Physics, Vol. 2009, Issue 05 https://doi.org/10.1088/1126-6708/2009/05/061	journal	May 2009
Generalized gravitational entropy Lewkowycz, Aitor; Maldacena, Juan Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)090	journal	August 2013
Chern-Simons terms from thermal circles and anomalies Jensen, Kristan; Loganayagam, R.; Yarom, Amos Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)110	journal	May 2014
Holographic entanglement entropy for general higher derivative gravity Dong, Xi Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)044	journal	January 2014
Black hole entropy is the Noether charge Wald, Robert M. Physical Review D, Vol. 48, Issue 8 https://doi.org/10.1103/PhysRevD.48.R3427	journal	October 1993
Constraining gravity using entanglement in AdS/CFT Banerjee, Shamik; Bhattacharyya, Arpan; Kaviraj, Apratim Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)029	journal	May 2014
Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories Intriligator, Kenneth Nuclear Physics B, Vol. 581, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00148-6	journal	August 2000
Proof of the holographic formula for entanglement entropy Fursaev, Dmitri V. Journal of High Energy Physics, Vol. 2006, Issue 09 https://doi.org/10.1088/1126-6708/2006/09/018	journal	September 2006
Entanglement entropy in higher derivative holography Bhattacharyya, Arpan; Kaviraj, Apratim; Sinha, Aninda Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)012	journal	August 2013
Central Charges of Liouville and Toda Theories from $M 5$ -Branes Alday, Luis F.; Tachikawa, Yuji; Benini, Francesco Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.141601	journal	September 2010
Four-dimensional SCFTs from M5-branes Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)005	journal	June 2012

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