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Bulk Locality and Boundary Creating Operators

Nakayama, Yu and Ooguri, Hirosi (2015) Bulk Locality and Boundary Creating Operators. Journal of High Energy Physics, 2015 (10). Art. No. 114. ISSN 1126-6708. doi:10.1007/JHEP10(2015)114.

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We formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in CFT, with the dilatation by the imaginary unit from their centers. This generalizes the recent proposal by Miyaji et al. for bulk local operators in the three dimensional AdS. We show that Ishibashi states for the global conformal symmetry in any dimensions and with the imaginary di-latation obey free field equations in AdS and that incorporating bulk interactions require their superpositions. We also comment on the recent proposals by Kabat et al., and by H. Verlinde.

Item Type:Article
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URLURL TypeDescription Paper DOIArticle
Nakayama, Yu0000-0002-1747-5147
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2015 The Authors. 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: August 7, 2015; Accepted: September 18, 2015; Published: October 19, 2015. We thank Tadashi Takayanagi for discussion. This work is supported in part by U.S. DOE grant DE-SC0011632, by the Walter Burke Institute for Theoretical Physics, and by the Moore Center for Theoretical Cosmology and Physics at Caltech. The work of H.O. is also supported in part by the Simons Investigator Award, by the WPI Initiative of MEXT of Japan, by MEXT KAKENHI Grant Number 15H05896 and by JSPS Grant-in-Aid for Scientific Research C-26400240. He also thanks the hospitality of the Aspen Center for Physics, where this paper was completed. Y.N. is a Sherman-Fairchild Research Assistant Professor at Caltech. Though we did not attend the KITP programs, “Quantum Gravity Foundations: UV to IR” and “Entanglement in Strongly-Correlated Quantum Matter”, we have been benefited by watching their recorded talks.
Group:Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Caltech Moore Center for Theoretical Cosmology and PhysicsUNSPECIFIED
Simons FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)15H05896
Japan Society for the Promotion of Science (JSPS)C-26400240
Sherman Fairchild FoundationUNSPECIFIED
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Issue or Number:10
Record Number:CaltechAUTHORS:20150812-140634734
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59449
Deposited By: Joy Painter
Deposited On:12 Aug 2015 22:38
Last Modified:10 Nov 2021 22:20

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