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arXiv · 1603.09745

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

Nathan Benjamin·Ethan Dyer·A. Liam Fitzpatrick·Shamit Kachru
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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 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.

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Nathan Benjamin, Ethan Dyer, A. Liam Fitzpatrick, Shamit Kachru. 2016-03-31. Universal Bounds on Charged States in 2d CFT and 3d Gravity. https://doi.org/10.1007/jhep08(2016)041

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