Twist gap and global symmetry in two dimensions

Nathan Benjamin; Hirosi Ooguri; Shu Heng Shao; Yifan Wang

doi:10.1103/PhysRevD.101.106026

Twist gap and global symmetry in two dimensions

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

Institute for Theoretical Physics

Princeton University
California Institute of Technology
The University of Tokyo
Harvard University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We show that every compact, unitary two-dimensional conformal field theory with an Abelian conserved current has vanishing twist gap for charged primary fields with respect to the u(1)×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.

Original language	English
Article number	106025
Journal	Physical Review D
Volume	101
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.101.106026
State	Published - May 15 2020

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10.1103/PhysRevD.101.106026

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N2 - We show that every compact, unitary two-dimensional conformal field theory with an Abelian conserved current has vanishing twist gap for charged primary fields with respect to the u(1)×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.

AB - We show that every compact, unitary two-dimensional conformal field theory with an Abelian conserved current has vanishing twist gap for charged primary fields with respect to the u(1)×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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Twist gap and global symmetry in two dimensions

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