General results for higher spin Wilson lines and entanglement in Vasiliev theory

Hegde, Ashwin; Kraus, Per; Perlmutter, Eric

doi:10.1007/JHEP01(2016)176

Title: General results for higher spin Wilson lines and entanglement in Vasiliev theory

Journal Article · Thu Jan 28 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2016)176· OSTI ID:1327291

Hegde, Ashwin ^[1]; Kraus, Per ^[1]; Perlmutter, Eric ^[2]

Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
Princeton Univ., NJ (United States). Dept. of Physics

Here, we develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs[λ ] Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and Gopakumar. Our main technical advance is the determination of SL(N) Wilson lines for arbitrary N, which, in suitable cases, enables us to analytically continue to hs[λ ] via N→ -λ. We then apply this result to compute various quantities of interest, including entanglement entropy expanded perturbatively in the background higher spin charge, chemical potential, and interval size. This includes a computation of entanglement entropy in the higher spin black hole of the Vasiliev theory. Our results are consistent with conformal field theory calculations. We also provide an alternative derivation of the Wilson line, by showing how it arises naturally from earlier work on scalar correlators in higher spin theory. The general picture that emerges is consistent with the statement that the SL(N) Wilson line computes the semiclassical W_N vacuum block, and our results provide an explicit result for this object.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40671

OSTI ID:: 1327291

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 18 works

Citation information provided by
Web of Science

References (72)

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
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
The gravity dual of a density matrix Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando Classical and Quantum Gravity, Vol. 29, Issue 15 https://doi.org/10.1088/0264-9381/29/15/155009	journal	July 2012
Causal holographic information Hubeny, Veronika E.; Rangamani, Mukund Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)114	journal	June 2012
Cool horizons for entangled black holes Maldacena, J.; Susskind, L. Fortschritte der Physik, Vol. 61, Issue 9 https://doi.org/10.1002/prop.201300020	journal	August 2013
Gravitation from entanglement in holographic CFTs Faulkner, Thomas; Guica, Monica; Hartman, Thomas Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)051	journal	March 2014
Entwinement and the emergence of spacetime Balasubramanian, Vijay; Chowdhury, Borun D.; Czech, Bartłlomiej Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)048	journal	January 2015
Causality & holographic entanglement entropy Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)162	journal	December 2014
Bulk locality and quantum error correction in AdS/CFT Almheiri, Ahmed; Dong, Xi; Harlow, Daniel Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)163	journal	April 2015
Integral geometry and holography Czech, Bartłomiej; Lamprou, Lampros; McCandlish, Samuel Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)175	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
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
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
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
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
Locality of Gravitational Systems from Entanglement of Conformal Field Theories Lin, Jennifer; Marcolli, Matilde; Ooguri, Hirosi Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.221601	journal	June 2015
Inviolable energy conditions from entanglement inequalities Lashkari, Nima; Rabideau, Charles; Sabella-Garnier, Philippe Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)067	journal	June 2015
Stringy gravity, interacting tensionless strings and massless higher spins Sundborg, Bo Nuclear Physics B - Proceedings Supplements, Vol. 102-103 https://doi.org/10.1016/S0920-5632(01)01545-6	journal	September 2001
On stringy AdS ₅ × S ⁵ and higher spin holography Bianchi, Massimo; Morales, José F.; Samtleben, Henning Journal of High Energy Physics, Vol. 2003, Issue 07 https://doi.org/10.1088/1126-6708/2003/07/062	journal	July 2003
On higher spins and the tensionless limit of string theory Sagnotti, A.; Tsulaia, M. Nuclear Physics B, Vol. 682, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.01.024	journal	March 2004
Higher spins & strings Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2014, Issue 11 https://doi.org/10.1007/JHEP11(2014)044	journal	November 2014
Higgsing the stringy higher spin symmetry Gaberdiel, Matthias R.; Peng, Cheng; Zadeh, Ida G. Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)101	journal	October 2015
Higher-spin gauge interactions for massive matter fields in 3D AdS space-time Prokushkin, S. F.; Vasiliev, M. A. Nuclear Physics B, Vol. 545, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00839-6	journal	April 1999
Spacetime geometry in higher spin gravity Ammon, Martin; Gutperle, Michael; Kraus, Per Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)053	journal	October 2011
A consistent interacting massless higher-spin field theory in D=2+1 Blencowe, M. P. Classical and Quantum Gravity, Vol. 6, Issue 4 https://doi.org/10.1088/0264-9381/6/4/005	journal	April 1989
Asymptotic $ \mathcal{W} $ -symmetries in three-dimensional higher-spin gauge theories Campoleoni, A.; Fredenhagen, S.; Pfenninger, S. Journal of High Energy Physics, Vol. 2011, Issue 9 https://doi.org/10.1007/JHEP09(2011)113	journal	September 2011
A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories Achúcarro, A.; Townsend, P. K. Physics Letters B, Vol. 180, Issue 1-2 https://doi.org/10.1016/0370-2693(86)90140-1	journal	November 1986
2 + 1 dimensional gravity as an exactly soluble system Witten, Edward Nuclear Physics B, Vol. 311, Issue 1 https://doi.org/10.1016/0550-3213(88)90143-5	journal	December 1988
Wilson lines and entanglement entropy in higher spin gravity Ammon, Martin; Castro, Alejandra; Iqbal, Nabil Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)110	journal	October 2013
Entanglement entropy and higher spin holography in AdS3 de Boer, Jan; Jottar, Juan I. Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)089	journal	April 2014
Unravelling holographic entanglement entropy in higher spin theories Castro, Alejandra; Llabrés, Eva Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)124	journal	March 2015
Higher spin entanglement entropy from CFT Datta, Shouvik; David, Justin R.; Ferlaino, Michael Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)096	journal	June 2014
Higher spin entanglement entropy Long, Jiang Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)055	journal	December 2014
Conformal perturbation theory and higher spin entanglement entropy on the torus Datta, Shouvik; David, Justin R.; Kumar, S. Prem Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)041	journal	April 2015
Higher spin entanglement and W N $$ {\mathcal{W}}_{\mathrm{N}} $$ conformal blocks de Boer, Jan; Castro, Alejandra; Hijano, Eliot Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)168	journal	July 2015
A new spin on entanglement entropy Hijano, Eliot; Kraus, Per Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)041	journal	December 2014
Universality of long-distance AdS physics from the CFT bootstrap Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)145	journal	August 2014
Worldline approach to semi-classical conformal blocks Hijano, Eliot; Kraus, Per; Snively, River Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)131	journal	July 2015
Virasoro conformal blocks and thermality from classical background fields Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)200	journal	November 2015
Semiclassical Virasoro blocks from AdS3 gravity Hijano, Eliot; Kraus, Per; Perlmutter, Eric Journal of High Energy Physics, Vol. 2015, Issue 12 https://doi.org/10.1007/JHEP12(2015)077	journal	December 2015
Nonlinear W∞ as asymptotic symmetry of three-dimensional higher spin AdS gravity Henneaux, Marc; Rey, Soo-Jong Journal of High Energy Physics, Vol. 2010, Issue 12 https://doi.org/10.1007/JHEP12(2010)007	journal	December 2010
Symmetries of holographic minimal models Gaberdiel, Matthias R.; Hartman, Thomas Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)031	journal	May 2011
W-gravity from Chern-Simons theory de Boer, Jan; Goeree, Jacob Nuclear Physics B, Vol. 381, Issue 1-2 https://doi.org/10.1016/0550-3213(92)90650-Z	journal	August 1992
Correlation functions in conformal Toda field theory I Fateev, V. A.; Litvinov, A. V. Journal of High Energy Physics, Vol. 2007, Issue 11 https://doi.org/10.1088/1126-6708/2007/11/002	journal	November 2007
Matching four-point functions in higher spin AdS3/CFT2 Hijano, Eliot; Kraus, Per; Perlmutter, Eric Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)163	journal	May 2013
The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators Feigin, B. L. Russian Mathematical Surveys, Vol. 43, Issue 2 https://doi.org/10.1070/RM1988v043n02ABEH001720	journal	April 1988
Supersymmetric Racah Basis, Family of Infinite-Dimensional Superalgebras, Su(∞+1\|∞) and Related 2d Models Fradkin, E. S.; Linetsky, V. Ya. Modern Physics Letters A, Vol. 06, Issue 07 https://doi.org/10.1142/S0217732391000646	journal	March 1991
Partition functions of holographic minimal models Gaberdiel, Matthias R.; Gopakumar, Rajesh; Hartman, Thomas Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)077	journal	August 2011
A note on conical solutions in 3D Vasiliev theory Campoleoni, Andrea; Procházka, Tomáš; Raeymaekers, Joris Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)052	journal	May 2013
Probing higher spin black holes from CFT Gaberdiel, Matthias R.; Jin, Kewang; Perlmutter, Eric Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)045	journal	October 2013
Partition functions of higher spin black holes and their CFT duals Kraus, Per; Perlmutter, Eric Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)061	journal	November 2011
Higher spin black holes from CFT Gaberdiel, Matthias R.; Hartman, Thomas; Jin, Kewang Journal of High Energy Physics, Vol. 2012, Issue 4 https://doi.org/10.1007/JHEP04(2012)103	journal	April 2012
Triality in minimal model holography Gaberdiel, Matthias R.; Gopakumar, Rajesh Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)127	journal	July 2012
The semiclassical limit of W N CFTs and Vasiliev theory Perlmutter, Eric; Procházka, Tomáš; Raeymaekers, Joris Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)007	journal	May 2013
Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields Campoleoni, A.; Fredenhagen, S.; Pfenninger, S. Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)007	journal	November 2010
Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach Campoleoni, Andrea; Henneaux, Marc Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)143	journal	March 2015
Thermodynamics of higher spin black holes in AdS3 de Boer, Jan; Jottar, Juan I. Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)023	journal	January 2014
Classical conformal blocks via AdS/CFT correspondence Alkalaev, Konstantin; Belavin, Vladimir Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)049	journal	August 2015
Higher spin black holes Gutperle, Michael; Kraus, Per Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)022	journal	May 2011
Observables and microscopic entropy of higher spin black holes Compère, Geoffrey; Jottar, Juan I.; Song, Wei Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)054	journal	November 2013
Perturbations of $ \mathcal{W} $ ∞ CFTs Gaberdiel, Matthias R.; Jin, Kewang; Li, Wei Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)162	journal	October 2013
Scalar fields and three-point functions in D = 3 higher spin gravity Ammon, Martin; Kraus, Per; Perlmutter, Eric Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)113	journal	July 2012
Entanglement entropy of two disjoint intervals in conformal field theory: II Calabrese, Pasquale; Cardy, John; Tonni, Erik Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 01 https://doi.org/10.1088/1742-5468/2011/01/P01021	journal	January 2011
Holographic Rényi entropy for CFT with W symmetry Chen, Bin; Long, Jiang; Zhang, Jia-ju Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)041	journal	April 2014
Comments on Rényi entropy in AdS3/CFT2 Perlmutter, Eric Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)052	journal	May 2014
Null vectors, 3-point and 4-point functions in conformal field theory Bowcock, P.; Watts, G. M. T. Theoretical and Mathematical Physics, Vol. 98, Issue 3 https://doi.org/10.1007/BF01102212	journal	March 1994
Isomonodromic τ-functions and W N conformal blocks Gavrylenko, P. Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)167	journal	September 2015
Finite Higher Spin Transformations from Exponentiation Monnier, Samuel Communications in Mathematical Physics, Vol. 336, Issue 1 https://doi.org/10.1007/s00220-014-2220-9	journal	November 2014
Modular properties of 3D higher spin theory Li, Wei; Lin, Feng-Li; Wang, Chih-Wei Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)094	journal	December 2013
Characters of the W 3 algebra Iles, Nicholas J.; Watts, Gérard M. T. Journal of High Energy Physics, Vol. 2014, Issue 2 https://doi.org/10.1007/JHEP02(2014)009	journal	February 2014
Higher spin black hole entropy in three dimensions Pérez, Alfredo; Tempo, David; Troncoso, Ricardo Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)143	journal	April 2013
Efficient computation of the Zassenhaus formula Casas, Fernando; Murua, Ander; Nadinic, Mladen Computer Physics Communications, Vol. 183, Issue 11 https://doi.org/10.1016/j.cpc.2012.06.006	journal	November 2012

Cited By (3)

Holographic interpretation of 1-point toroidal block in the semiclassical limit Alkalaev, K. B.; Belavin, V. A. Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/jhep06(2016)183	journal	June 2016
Universal corrections to entanglement entropy of local quantum quenches David, Justin R.; Khetrapal, Surbhi; Kumar, S. Prem Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/jhep08(2016)127	journal	August 2016
Holographic interpretation of 1-point toroidal block in the semiclassical limit Alkalaev, K. B.; Belavin, V. A. arXiv https://doi.org/10.48550/arxiv.1603.08440	text	January 2016

Similar Records

Bounding the space of holographic CFTs with chaos

Journal Article · Thu Oct 13 00:00:00 EDT 2016 · Journal of High Energy Physics (Online) · OSTI ID:1327291

Perlmutter, Eric

Deformed twistors and higher spin conformal (super-)algebras in four dimensions

Journal Article · Thu Mar 05 00:00:00 EST 2015 · Journal of High Energy Physics (Online) · OSTI ID:1327291

Govil, Karan; Gunaydin, Murat

Entanglement entropy of a superflow

Journal Article · Thu Feb 03 00:00:00 EST 2022 · Journal of High Energy Physics (Online) · OSTI ID:1327291

Khlebnikov, Sergei; Sheoran, Akhil

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
higher spin symmetry
AdS-CFT correspondence
conformal and W symmetry

Title: General results for higher spin Wilson lines and entanglement in Vasiliev theory

Citation Formats

References (72)

Cited By (3)

Similar Records

Related Subjects