Constraints on Symmetries from Holography

In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within theanti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries arepossible, that internal gauge symmetries must come with dynamical objects that transform in...

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Bibliographic Details
Main Authors: Harrow, Daniel R., Ooguri, Hirosi
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society (APS) 2020
Online Access:https://hdl.handle.net/1721.1/128248
Description
Summary:In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within theanti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries arepossible, 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.