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Scale Invariance vs Conformal Invariance from Holography

Nakayama, Yu (2010) Scale Invariance vs Conformal Invariance from Holography. International Journal of Modern Physics A, 25 (26). pp. 4849-4873. ISSN 0217-751X. doi:10.1142/S0217751X10050731.

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The relation between scale invariance and conformal invariance is a subtle but important unsolved problem in the quantum field theory. We study a holographic approach to this problem and show that the null energy condition in the bulk effective gravitational theories guarantees the equivalence between the scale invariance and conformal invariance of the boundary theories. We also investigate the higher-dimensional compactification, where the warping can generate additional possible violation of the conformal invariance. Our discussion is applicable in any dimension, and suggests a generalization of Zamolodchikov Polchinski theorem that states the equivalence in (1+1) dimension from the purely field theory viewpoint.

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Additional Information:© 2010 World Scientific Publishing Company. Received 1 September 2010. The work was supported in part by the National Science Foundation under Grant No. PHY05-55662 and the UC Berkeley Center for Theoretical Physics.
Group:Caltech Theory
Funding AgencyGrant Number
UC Berkeley Center for Theoretical PhysicsUNSPECIFIED
Subject Keywords:Scale invariance; conformal invariance; holography
Issue or Number:26
Record Number:CaltechAUTHORS:20101123-141743846
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21000
Deposited By: Benjamin Perez
Deposited On:23 Nov 2010 22:59
Last Modified:09 Nov 2021 00:05

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