Universal bounds on charged states in 2d CFT and 3d gravity

A bstract We derive an explicit bound on the dimension of the lightest charged state in two dimensional conformal field theories with a global abelian symmetry. We find that the bound scales with c and provide examples that parametrically saturate this bound. We also prove that any such theory must...

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Bibliographic Details
Published in:The journal of high energy physics 2016-08, Vol.2016 (8), p.1-26, Article 41
Main Authors: Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, Kachru, Shamit
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
conformal and W symmetry
Elementary Particles
Field theory
global symmetries
Gravitation
High energy physics
Lower bounds
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Two dimensional
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Summary:A bstract We derive an explicit bound on the dimension of the lightest charged state in two dimensional conformal field theories with a global abelian symmetry. We find that the bound scales with c and provide examples that parametrically saturate this bound. We also prove that any such theory must contain a state with charge-to-mass ratio above a minimal lower bound. We comment on the implications for charged states in three dimensional theories of gravity.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2016)041