Nakayama, Yu and Ooguri, Hirosi (2016) Bulk Local States and Crosscaps in Holographic CFT. Journal of High Energy Physics, 2016 (10). Art. No. 085. ISSN 1126-6708. doi:10.1007/JHEP10(2016)085. https://resolver.caltech.edu/CaltechAUTHORS:20160509-164600548
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Abstract
In a weakly coupled gravity theory in the anti-de Sitter space, local states in the bulk are linear superpositions of Ishibashi states for a crosscap in the dual conformal field theory. The superposition structure can be constrained either by the microscopic causality in the bulk gravity or the bootstrap condition in the boundary conformal field theory. We show, contrary to some expectation, that these two conditions are not compatible to each other in the weak gravity regime. We also present an evidence to show that bulk local states in three dimensions are not organized by the Virasoro symmetry.
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| Additional Information: | © 2016 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 5, 2016; Accepted: October 9, 2016; Published: October 17, 2016. We thank Alex Maloney, Tadashi Takayanagi, and Herman Verlinde for discussions. Our research is supported in part by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan. The research of HO is also supported in part by U.S. DOE grant DE-SC0011632, by the Simons Investigator Award, by Caltech’s Walter Burke Institute for Theoretical Physics and Moore Center for Theoretical Cosmology and Physics, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. HO thank the hospitality of the Institute for Advanced Study as Director’s Visiting Professor in the fall 2015, where this work was initiated, and of the Center for Mathematical Sciences and Applications and the Center for the Fundamental Laws of Nature at Harvard University as a visiting scholar in the spring 2016, where this work was completed. | ||||||||||||||||||||||
| Group: | Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics | ||||||||||||||||||||||
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| Subject Keywords: | AdS-CFT Correspondence; Conformal Field Theory; Space-Time Symmetries | ||||||||||||||||||||||
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| Issue or Number: | 10 | ||||||||||||||||||||||
| DOI: | 10.1007/JHEP10(2016)085 | ||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20160509-164600548 | ||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160509-164600548 | ||||||||||||||||||||||
| Official Citation: | Nakayama, Y. & Ooguri, H. J. High Energ. Phys. (2016) 2016: 85. doi:10.1007/JHEP10(2016)085 | ||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||
| ID Code: | 66791 | ||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||
| Deposited By: | Joy Painter | ||||||||||||||||||||||
| Deposited On: | 10 May 2016 23:45 | ||||||||||||||||||||||
| Last Modified: | 11 Nov 2021 00:03 |
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