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2016

Universal Bounds on Charged States in 2d CFT and 3d Gravity

Benjamin, Nathan, Dyer, Ethan, Fitzpatrick, A. Liam et al.

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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 than 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.

Universal Bounds on Charged States in 2d CFT and 3d Gravity · Around

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