Kavli Affiliate: Hirosi Ooguri
| First 5 Authors: Nathan Benjamin, Hirosi Ooguri, Shu-Heng Shao, Yifan Wang,
| Summary:
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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