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Title: Moving the CFT into the bulk with T T ¯

Abstract

Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator T T ¯ , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = r c in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the T T ¯ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Princeton Univ., NJ (United States). Dept. of Physics
  2. Princeton Univ., NJ (United States). Princeton Center for Theoretical Science
  3. Princeton Univ., NJ (United States). Dept. of Physics. Princeton Center for Theoretical Science
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1512424
Grant/Contract Number:  
SC0016244; PHY-1620059
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; conformal field theory; renormalization group

Citation Formats

McGough, Lauren, Mezei, Márk, and Verlinde, Herman. Moving the CFT into the bulk with T T ¯. United States: N. p., 2018. Web. doi:10.1007/jhep04(2018)010.
McGough, Lauren, Mezei, Márk, & Verlinde, Herman. Moving the CFT into the bulk with T T ¯. United States. doi:10.1007/jhep04(2018)010.
McGough, Lauren, Mezei, Márk, and Verlinde, Herman. Tue . "Moving the CFT into the bulk with T T ¯". United States. doi:10.1007/jhep04(2018)010. https://www.osti.gov/servlets/purl/1512424.
@article{osti_1512424,
title = {Moving the CFT into the bulk with T T ¯},
author = {McGough, Lauren and Mezei, Márk and Verlinde, Herman},
abstractNote = {Recent work by Zamolodchikov and others has uncovered a solvable irrelevant deformation of general 2D CFTs, defined by turning on the dimension 4 operator T T ¯ , the product of the left- and right-moving stress tensor. We propose that in the holographic dual, this deformation represents a geometric cutoff that removes the asymptotic region of AdS and places the QFT on a Dirichlet wall at finite radial distance r = rc in the bulk. As a quantitative check of the proposed duality, we compute the signal propagation speed, energy spectrum, and thermodynamic relations on both sides. In all cases, we obtain a precise match. We derive an exact RG flow equation for the metric dependence of the effective action of the T T ¯ deformed theory, and find that it coincides with the Hamilton-Jacobi equation that governs the radial evolution of the classical gravity action in AdS.},
doi = {10.1007/jhep04(2018)010},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}

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Cited by: 31 works
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