Wilson lines and Ishibashi states in AdS3/CFT2

Journal of High Energy Physics - Tập 2018 - Trang 1-45 - 2018
Alejandra Castro1, Nabil Iqbal2, Eva Llabrés1
1Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Amsterdam, The Netherlands
2Centre for Particle Theory, Department of Mathematical Sciences, Durham University, Durham, U.K.

Tóm tắt

We provide a refined interpretation of a gravitational Wilson line in AdS3 in terms of Ishibashi states in the dual CFT2. Our strategy is to give a method to evaluate the Wilson line that accounts for all the information contained in the representation, and clarify the role of boundary conditions at the endpoints of the line operator. This gives a novel way to explore and reconstruct the local bulk dynamics which we discuss. We also compare our findings with other interpretations of Ishibashi states in AdS3/CFT2.

Tài liệu tham khảo

A. Achucarro and P.K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories, Phys. Lett. B 180 (1986) 89 [INSPIRE]. E. Witten, (2 + 1)-dimensional gravity as an exactly soluble system, Nucl. Phys. B 311 (1988) 46 [INSPIRE]. M. Henneaux, L. Maoz and A. Schwimmer, Asymptotic dynamics and asymptotic symmetries of three-dimensional extended AdS supergravity, Annals Phys. 282 (2000) 31 [hep-th/9910013] [INSPIRE]. C. Aragone and S. Deser, Hypersymmetry in D = 3 of coupled gravity massless spin 5/2 system, Class. Quant. Grav. 1 (1984) L9 [INSPIRE]. M.P. Blencowe, A consistent interacting massless higher spin field theory in D = (2 + 1), Class. Quant. Grav. 6 (1989) 443 [INSPIRE]. E. Bergshoeff, M.P. Blencowe and K.S. Stelle, Area preserving diffeomorphisms and higher spin algebra, Commun. Math. Phys. 128 (1990) 213 [INSPIRE]. M. Henneaux and S.-J. Rey, Nonlinear W ∞ as asymptotic symmetry of three-dimensional higher spin anti-de Sitter gravity, JHEP 12 (2010) 007 [arXiv:1008.4579] [INSPIRE]. A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields, JHEP 11 (2010) 007 [arXiv:1008.4744] [INSPIRE]. G. Grignani and G. Nardelli, Gravity and the Poincaré group, Phys. Rev. D 45 (1992) 2719 [INSPIRE]. M. Ammon, A. Castro and N. Iqbal, Wilson lines and entanglement entropy in higher spin gravity, JHEP 10 (2013) 110 [arXiv:1306.4338] [INSPIRE]. J. de Boer and J.I. Jottar, Entanglement entropy and higher spin holography in AdS 3, JHEP 04 (2014) 089 [arXiv:1306.4347] [INSPIRE]. A. Castro and E. Llabrés, Unravelling holographic entanglement entropy in higher spin theories, JHEP 03 (2015) 124 [arXiv:1410.2870] [INSPIRE]. J. de Boer, A. Castro, E. Hijano, J.I. Jottar and P. Kraus, Higher spin entanglement and W N conformal blocks, JHEP 07 (2015) 168 [arXiv:1412.7520] [INSPIRE]. A. Hegde, P. Kraus and E. Perlmutter, General results for higher spin Wilson lines and entanglement in Vasiliev theory, JHEP 01 (2016) 176 [arXiv:1511.05555] [INSPIRE]. A. Castro, S. Detournay, N. Iqbal and E. Perlmutter, Holographic entanglement entropy and gravitational anomalies, JHEP 07 (2014) 114 [arXiv:1405.2792] [INSPIRE]. A. Castro, D.M. Hofman and N. Iqbal, Entanglement entropy in warped conformal field theories, JHEP 02 (2016) 033 [arXiv:1511.00707] [INSPIRE]. N. Ishibashi, The boundary and crosscap states in conformal field theories, Mod. Phys. Lett. A 4 (1989) 251 [INSPIRE]. J.L. Cardy, Boundary conformal field theory, hep-th/0411189 [INSPIRE]. D.E. Berenstein, R. Corrado, W. Fischler and J.M. Maldacena, The operator product expansion for Wilson loops and surfaces in the large N limit, Phys. Rev. D 59 (1999) 105023 [hep-th/9809188] [INSPIRE]. U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Vacua, propagators and holographic probes in AdS/CFT, JHEP 01 (1999) 002 [hep-th/9812007] [INSPIRE]. J.M. Maldacena, Eternal black holes in anti-de Sitter, JHEP 04 (2003) 021 [hep-th/0106112] [INSPIRE]. M. Miyaji, T. Numasawa, N. Shiba, T. Takayanagi and K. Watanabe, Continuous multiscale entanglement renormalization ansatz as holographic surface-state correspondence, Phys. Rev. Lett. 115 (2015) 171602 [arXiv:1506.01353] [INSPIRE]. H. Verlinde, Poking holes in AdS/CFT: bulk fields from boundary states, arXiv:1505.05069 [INSPIRE]. Y. Nakayama and H. Ooguri, Bulk locality and boundary creating operators, JHEP 10 (2015) 114 [arXiv:1507.04130] [INSPIRE]. J.M. Maldacena and A. Strominger, AdS 3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [INSPIRE]. V. Balasubramanian, P. Kraus and A.E. Lawrence, Bulk versus boundary dynamics in anti-de Sitter space-time, Phys. Rev. D 59 (1999) 046003 [hep-th/9805171] [INSPIRE]. J.S.F. Chan and R.B. Mann, Scalar wave falloff in asymptotically anti-de Sitter backgrounds, Phys. Rev. D 55 (1997) 7546 [gr-qc/9612026] [INSPIRE]. D. Birmingham, Choptuik scaling and quasinormal modes in the AdS/CFT correspondence, Phys. Rev. D 64 (2001) 064024 [hep-th/0101194] [INSPIRE]. V. Cardoso and J.P.S. Lemos, Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasinormal modes, Phys. Rev. D 63 (2001) 124015 [gr-qc/0101052] [INSPIRE]. D. Birmingham, I. Sachs and S.N. Solodukhin, Conformal field theory interpretation of black hole quasinormal modes, Phys. Rev. Lett. 88 (2002) 151301 [hep-th/0112055] [INSPIRE]. B. Chen and J. Long, Hidden conformal symmetry and quasi-normal modes, Phys. Rev. D 82 (2010) 126013 [arXiv:1009.1010] [INSPIRE]. H.-B. Zhang, SL(2, R) symmetry and quasi-normal modes in the BTZ black hole, JHEP 03 (2011) 009 [arXiv:1102.4721] [INSPIRE]. M. Bañados, Agujero negro en tres dimensiones (in Spanish), Ph.D. thesis, Universidad de Chile, Chile, (1993). M. Gutperle and P. Kraus, Higher spin black holes, JHEP 05 (2011) 022 [arXiv:1103.4304] [INSPIRE]. A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Holographic representation of local bulk operators, Phys. Rev. D 74 (2006) 066009 [hep-th/0606141] [INSPIRE]. A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT: a boundary view of horizons and locality, Phys. Rev. D 73 (2006) 086003 [hep-th/0506118] [INSPIRE]. Y. Nakayama and H. Ooguri, Bulk local states and crosscaps in holographic CFT, JHEP 10 (2016) 085 [arXiv:1605.00334] [INSPIRE]. A. Lewkowycz, G.J. Turiaci and H. Verlinde, A CFT perspective on gravitational dressing and bulk locality, JHEP 01 (2017) 004 [arXiv:1608.08977] [INSPIRE]. K. Goto and T. Takayanagi, CFT descriptions of bulk local states in the AdS black holes, JHEP 10 (2017) 153 [arXiv:1704.00053] [INSPIRE]. N. Anand, H. Chen, A.L. Fitzpatrick, J. Kaplan and D. Li, An exact operator that knows its location, JHEP 02 (2018) 012 [arXiv:1708.04246] [INSPIRE]. A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT: a holographic description of the black hole interior, Phys. Rev. D 75 (2007) 106001 [Erratum ibid. D 75 (2007) 129902] [hep-th/0612053] [INSPIRE]. K. Papadodimas and S. Raju, Black hole interior in the holographic correspondence and the information paradox, Phys. Rev. Lett. 112 (2014) 051301 [arXiv:1310.6334] [INSPIRE]. M. Guica and D.L. Jafferis, On the construction of charged operators inside an eternal black hole, SciPost Phys. 3 (2017) 016 [arXiv:1511.05627] [INSPIRE]. B. Carneiro da Cunha and M. Guica, Exploring the BTZ bulk with boundary conformal blocks, arXiv:1604.07383 [INSPIRE]. S. Giombi, A. Maloney and X. Yin, One-loop partition functions of 3D gravity, JHEP 08 (2008) 007 [arXiv:0804.1773] [INSPIRE]. H.L. Verlinde, Conformal field theory, 2D quantum gravity and quantization of Teichmüller space, Nucl. Phys. B 337 (1990) 652 [INSPIRE]. S. Elitzur, G.W. Moore, A. Schwimmer and N. Seiberg, Remarks on the canonical quantization of the Chern-Simons-Witten theory, Nucl. Phys. B 326 (1989) 108 [INSPIRE]. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE]. K.B. Alkalaev and V.A. Belavin, Classical conformal blocks via AdS/CFT correspondence, JHEP 08 (2015) 049 [arXiv:1504.05943] [INSPIRE]. E. Hijano, P. Kraus, E. Perlmutter and R. Snively, Semiclassical Virasoro blocks from AdS 3 gravity, JHEP 12 (2015) 077 [arXiv:1508.04987] [INSPIRE]. A. Bhatta, P. Raman and N.V. Suryanarayana, Holographic conformal partial waves as gravitational open Wilson networks, JHEP 06 (2016) 119 [arXiv:1602.02962] [INSPIRE]. K.B. Alkalaev and V.A. Belavin, Monodromic vs geodesic computation of Virasoro classical conformal blocks, Nucl. Phys. B 904 (2016) 367 [arXiv:1510.06685] [INSPIRE]. M. Besken, A. Hegde, E. Hijano and P. Kraus, Holographic conformal blocks from interacting Wilson lines, JHEP 08 (2016) 099 [arXiv:1603.07317] [INSPIRE]. A.L. Fitzpatrick, J. Kaplan, D. Li and J. Wang, Exact Virasoro blocks from Wilson lines and background-independent operators, JHEP 07 (2017) 092 [arXiv:1612.06385] [INSPIRE]. R. Nakayama and T. Suzuki, A bulk localized state and new holographic renormalization group flow in 3D spin-3 gravity, Int. J. Mod. Phys. A 33 (2018) 1850061 [arXiv:1712.04678] [INSPIRE]. P. Kessel and J. Raeymaekers, Simple unfolded equations for massive higher spins in AdS 3, JHEP 08 (2018) 076 [arXiv:1805.07279] [INSPIRE]. M. Bañados, Three-dimensional quantum geometry and black holes, AIP Conf. Proc. 484 (1999) 147 [hep-th/9901148] [INSPIRE]. M. Ammon, M. Gutperle, P. Kraus and E. Perlmutter, Black holes in three dimensional higher spin gravity: a review, J. Phys. A 46 (2013) 214001 [arXiv:1208.5182] [INSPIRE]. H. Srivastava and H. Manocha, A treatise on generating functions, Ellis Horwood limited, Chichester, U.K., (1984).