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A Local Logarithmic Conformal Field Theory

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arxiv hep-th/9807091 v2 pith:ZTTJEWPF submitted 1998-07-13 hep-th

A Local Logarithmic Conformal Field Theory

classification hep-th
keywords conformalfieldtheorylogarithmiccorrespondingfoundlocalalgebra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The local logarithmic conformal field theory corresponding to the triplet algebra at c=-2 is constructed. The constraints of locality and crossing symmetry are explored in detail, and a consistent set of amplitudes is found. The spectrum of the corresponding theory is determined, and it is found to be modular invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can indeed define bona fide conformal field theories.

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Cited by 3 Pith papers

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

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    hep-th 2026-05 unverdicted novelty 7.0

    At the chiral point of critical AdS3 TMG, L0 = h1 + N (N nilpotent) unifies real and imaginary flows with monodromy through identical linear and logarithmic mixing, characterizing logarithmic modes as generalized eigenstates.

  2. Modular Properties of Symplectic Fermion Generalised Gibbs Ensemble

    hep-th 2026-03 unverdicted novelty 7.0

    Exact modular S-transforms are derived for GGEs in the symplectic fermion theory, agreeing with conjectures for the W3 zero mode and mirroring free-fermion results for the KdV subset.

  3. Logarithmic correlation functions for critical dense polymers on the cylinder

    cond-mat.stat-mech 2019-07 unverdicted novelty 7.0

    Explicit finite-n lattice correlators for dense polymers on a cylinder are computed via Temperley-Lieb algebra and shown to match ratios of c=-2 CFT correlators involving boundary fields of dimensions -1/8 and 0, with...