Corner contributions to holographic entanglement entropy
EntityUAM. Departamento de Física Teórica
10.1007/JHEP08(2015)068Journal of High Energy Physics 2015.8 (2015): 068
ISSN1126-6708 (print); 1029-8479 (online)
Funded byWe wish to thank Horacio Casini for providing us with the free field results and lattice data points for a(Ω), which were used in figures 4, 5 and 6 as well as the explicit integrals for σscalar and σfermion in appendix D. We are also thankful to Nikolay Bobev, Horacio Casini, Ana Cueto, Damian Galante, Tarun Grover, Kris Jensen, Ann B. Kallin, Oscar Lasso, Patrick Meessen, Roger Melko, Mark Mezei, Tomas Ortın, Pedro F. Ramírez, Misha Smolkin, Antony Speranza, Marika Taylor and especially William Witczak-Krempa for useful discussions and comments. PB thanks Perimeter’s Visiting Graduate Fellows Program and Perimeter Institute, where most of the project was carried out, for its kind hospitality. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation. Research at IFT is supported by the Spanish MINECO’s Centro de Excelencia Severo Ochoa Programme under grant SEV-2012-0249. The work of PB has also been supported by the JAE-predoc grant JAEPre 2011 00452 and partially by the Spanish Ministry of Science and Education grant FPA2012-35043-C02-01, the Comunidad de Madrid grant HEPHACOS S2009ESP-1473, and the Spanish Consolider-Ingenio 2010 program CPAN CSD2007-00042. RCM acknowledges support from an NSERC Discovery grant and funding from the Canadian Institute for Advanced Research
ProjectGobierno de España. SEV-2012-0249; Gobierno de España. FPA2012-35043-C02-01; Comunidad de Madrid. S2009/ESP-1473/HEPHACOS
SubjectsGauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Física
NoteJournal of High Energy Physics 2015.8 (2015): 068 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Rights© 2015, The Author(s)
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional.
The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider the effects of higher curvature interactions in the bulk gravity theory. We find that for all of our holographic models, the corner contribution is only modified by an overall factor but the functional dependence on the opening angle is not modified by the new gravitational interactions. We also compare the dependence of the corner term on the new gravitational couplings to that for a number of other physical quantities, and we show that the ratio of the corner contribution over the central charge appearing in the two-point function of the stress tensor is a universal function for all of the holographic theories studied here. Comparing this holographic result to the analogous functions for free CFT’s, we find fairly good agreement across the full range of the opening angle. However, there is a precise match in the limit where the entangling surface becomes smooth, i.e., the angle approaches π, and we conjecture the corresponding ratio is a universal constant for all three-dimensional conformal field theories. In this paper, we expand on the holographic calculations in our previous letter arXiv:1505.04804, where this conjecture was first introduced
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