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Twist Gap and Global Symmetry in Two Dimensions

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arxiv 2003.02844 v2 pith:2KCPCWOL submitted 2020-03-05 hep-th

Nathan Benjamin , Hirosi Ooguri , Shu-Heng Shao , Yifan Wang This is my paper · ORCID
classification hep-th
keywords twistchargedprimaryalgebrafieldszeroabelianaccumulate
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fermionic Villain model with exact lattice chiral symmetries

    hep-th 2026-08 conditional novelty 7.0 of 10

    A fermionic Villain lattice Hamiltonian exactly realizes the chiral U(1) L x U(1) R symmetry and anomalies of a massless Dirac fermion, enabling exact studies of symmetric mass generation and chiral lattice gauge theories.

  2. Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging

    hep-th 2026-07 accept novelty 7.0 of 10

    Chiral tube algebras unify chiral algebras and TDLs by acting on twisted defect spaces via local and non-local currents, with modules isomorphic to twisted modules of the parent algebras.

  3. Descending into the Modular Bootstrap

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Numerical search finds candidate modular-invariant spectra with integer degeneracies for 1 < c < 8/7 and hints at a stronger gap bound near c = 1.

  4. Coupled minimal models revisited II: Constraints from permutation symmetry

    hep-th 2024-12 accept novelty 7.0 of 10

    For coupled large-m minimal models with N=5,6,7, every permutation-charged current below spin 10 acquires an anomalous dimension, so the IR fixed points show no extended chiral algebra in that range.

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