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Published May 17, 2019 | Published + Submitted
Journal Article Open

Constraints on Symmetries from Holography

Abstract

In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within the anti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the nonperturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.

Additional Information

© 2019 Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 26 October 2018; revised manuscript received 24 January 2019; published 17 May 2019. D. H. is supported by the U.S. Department of Energy Grants No. DE-SC0018944 and No. DE-SC0019127, the Simons Foundation as a member of the It from Qubit collaboration, and the MIT department of physics. H. O. is supported in part by U.S. Department of Energy Grant No. DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895.

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Published - PhysRevLett.122.191601.pdf

Submitted - 1810.05337.pdf

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August 19, 2023
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