English

Twist Gap and Global Symmetry in Two Dimensions

High Energy Physics - Theory 2020-06-24 v2

Abstract

We show that every compact, unitary two-dimensional CFT with an abelian conserved current has vanishing twist gap for charged primary fields with respect to the u(1)×\mathfrak{u}(1)\timesVirasoro algebra. This means that either the chiral algebra is enhanced by a charged primary field with zero twist or there is an infinite family of charged primary fields that accumulate to zero twist.

Cite

@article{arxiv.2003.02844,
  title  = {Twist Gap and Global Symmetry in Two Dimensions},
  author = {Nathan Benjamin and Hirosi Ooguri and Shu-Heng Shao and Yifan Wang},
  journal= {arXiv preprint arXiv:2003.02844},
  year   = {2020}
}

Comments

16 pages, 2 figures, v2: minor changes

R2 v1 2026-06-23T14:05:36.408Z