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2020

Twist Gap and Global Symmetry in Two Dimensions

Benjamin, Nathan, Ooguri, Hirosi, Shao, Shu-Heng et al.

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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.

Twist Gap and Global Symmetry in Two Dimensions · Around

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Y.-H. Lin and S.-H. Shao, Anomalies and Bounds on Charged Operators
Original
1904
Earlier work this paper cites.
N. Benjamin, H. Ooguri, S.-H. Shao, and Y. Wang, Light-cone modular bootstrap and pure gravity
Original
1906
Earlier work this paper cites.
B. L. Feigin and D. B. Fuchs Lecture Notes in Math
1984
Earlier work this paper cites.
A. Rocha-Caridi Vertex Operators in Mathematics and Physics, eds. J. Lepowsky, S. Mandelstam, I. M. Singer,
1985
Earlier work this paper cites.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories
1986
Earlier work this paper cites.
W. Boucher, D. Friedan, and A. Kent, Determinant Formulae and Unitarity for the N=2 Superconformal Algebras in Two-Dimensions or Exact Results on String Compactification
1986
Earlier work this paper cites.
A. Schwimmer and N. Seiberg, Comments on the N=2, N=3, N=4 Superconformal Algebras in Two-Dimensions
1987
Earlier work this paper cites.

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