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Title: Bulk local states and crosscaps in holographic CFT

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. As a result, we also present an evidence to show that bulk local states in three dimensions are not organized by the Virasoro symmetry.
Authors:
 [1] ;  [2]
  1. Rikkyo Univ., Tokyo (Japan); Univ. of Tokyo, Chiba (Japan)
  2. Univ. of Tokyo, Chiba (Japan); California Inst. of Technology (CalTech), Pasadena, CA (United States); Harvard Univ., Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
SC0011632
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; conformal field theory; space-time symmetries
OSTI Identifier:
1360109

Nakayama, Yu, and Ooguri, Hirosi. Bulk local states and crosscaps in holographic CFT. United States: N. p., Web. doi:10.1007/JHEP10(2016)085.
Nakayama, Yu, & Ooguri, Hirosi. Bulk local states and crosscaps in holographic CFT. United States. doi:10.1007/JHEP10(2016)085.
Nakayama, Yu, and Ooguri, Hirosi. 2016. "Bulk local states and crosscaps in holographic CFT". United States. doi:10.1007/JHEP10(2016)085. https://www.osti.gov/servlets/purl/1360109.
@article{osti_1360109,
title = {Bulk local states and crosscaps in holographic CFT},
author = {Nakayama, Yu and Ooguri, Hirosi},
abstractNote = {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. As a result, we also present an evidence to show that bulk local states in three dimensions are not organized by the Virasoro symmetry.},
doi = {10.1007/JHEP10(2016)085},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}