Constraints on Symmetries from Holography

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...

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Bibliographic Details
Published in:Physical review letters 2019-05, Vol.122 (19), p.191601-191601, Article 191601
Main Authors: Harlow, Daniel, Ooguri, Hirosi
Format: Article
Language:English
Subjects:
ASTRONOMY AND ASTROPHYSICS
Field theory
Holography
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum gravity
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.122.191601