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arXiv · 2003.02844

Twist Gap and Global Symmetry in Two Dimensions

Nathan Benjamin·Hirosi Ooguri·Shu-Heng Shao·Yifan Wang
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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 $\mathfrak{u}(1)\times$Virasoro 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.

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Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, Yifan Wang. 2020-03-14. Twist Gap and Global Symmetry in Two Dimensions. https://doi.org/10.1103/physrevd.101.106026

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