English

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

High Energy Physics - Theory 2016-08-24 v2 High Energy Physics - Phenomenology

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 cc 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.

Keywords

Cite

@article{arxiv.1603.09745,
  title  = {Universal Bounds on Charged States in 2d CFT and 3d Gravity},
  author = {Nathan Benjamin and Ethan Dyer and A. Liam Fitzpatrick and Shamit Kachru},
  journal= {arXiv preprint arXiv:1603.09745},
  year   = {2016}
}

Comments

33 pages, 1 figure; v2: additional refs and comments added