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

Abstract

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:
Research Org.:
Stanford Institute for Theoretical Physics, Stanford, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1361525
Grant/Contract Number:  
SC0010025
Resource Type:
Journal Article: 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
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conformal and W symmetry; global symmetries

Citation Formats

Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, and Kachru, Shamit. Universal bounds on charged states in 2d CFT and 3d gravity. United States: N. p., 2016. Web. doi:10.1007/JHEP08(2016)041.
Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, & Kachru, Shamit. Universal bounds on charged states in 2d CFT and 3d gravity. United States. doi:10.1007/JHEP08(2016)041.
Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam, and Kachru, Shamit. Thu . "Universal bounds on charged states in 2d CFT and 3d gravity". United States. doi:10.1007/JHEP08(2016)041. https://www.osti.gov/servlets/purl/1361525.
@article{osti_1361525,
title = {Universal bounds on charged states in 2d CFT and 3d gravity},
author = {Benjamin, Nathan and Dyer, Ethan and Fitzpatrick, A. Liam and Kachru, Shamit},
abstractNote = {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.},
doi = {10.1007/JHEP08(2016)041},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2016,
place = {United States},
year = {Thu Aug 04 00:00:00 EDT 2016},
month = {Thu Aug 04 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 15 works
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