Universal bounds on charged states in 2d CFT and 3d gravity. (English) Zbl 1390.83244
Summary: 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.
MSC:
| 83C80 | Analogues of general relativity in lower dimensions |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
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