Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2016)041
Keywords
Conformal and W Symmetry; Global Symmetries
Categories
Funding
- Stanford Graduate Fellowship
- NSF [PHY-0756174]
- US Department of Energy Office of Science [DE-SC-0010025]
- National Science Foundation [PHY-1316699]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1316699] Funding Source: National Science Foundation
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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.
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