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

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. As a result, we comment on the implications for charged states in three dimensional theories of gravity.
Authors:
 [1] ;  [1] ;  [2] ;  [1]
  1. Stanford Institute for Theoretical Physics, Stanford, CA (United States)
  2. Boston Univ., Boston, MA (United States)
Publication Date:
Grant/Contract Number:
SC0010025
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Stanford Institute for Theoretical Physics, Stanford, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conformal and W symmetry; global symmetries
OSTI Identifier:
1361525