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Twist gap and global symmetry in two dimensions

2020; American Physical Society; Volume: 101; Issue: 10 Linguagem: Inglês

10.1103/physrevd.101.106026

2470-0037

Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, Yifan Wang,

Algebraic structures and combinatorial models

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.