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Logarithmic Operators in Conformal Field Theory
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Logarithmic Operators in Conformal Field Theory
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Conformal field theories with correlation functions which have logarithmic singularities are considered. It is shown that those singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator $L_{0}$. An example of the field theory possessing such correlation functions is given.
Forward citations
Cited by 8 Pith papers
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Non-Hermitian Holographic Flows to Little Rip Cosmologies
A holographic model of a non-Hermitian PT-symmetric QFT produces black hole interiors that are isotropic Little Rip cosmologies, separated from standard Kasner behavior by a distinctive logarithmic signature in heavy-...
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From monodromy to $SL(2,\mathbb{R})$: reconstructing the logarithmic sector of chiral TMG from virasoro flow
The logarithmic graviton module in critical chiral TMG is reconstructed as an indecomposable representation from monodromy-compatible Virasoro flow, with Jordan structure identified as unipotent radial monodromy and s...
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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.
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Non-Hermitian free-fermion critical systems and logarithmic conformal field theory
A PT-symmetric non-Hermitian free-fermion field theory realizes logarithmic conformal field theory with central charge c=-2 via a biorthogonal Virasoro algebra construction.
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Logarithmic correlation functions for critical dense polymers on the cylinder
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...
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Four-point functions in the bosonic ghost system have logarithmic singularities.
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Derives holographic one-point functions, stress tensor and Ward identities for defects in AdS5 and AdS6 from AdS2×S2, AdS2×S3 and AdS3×S2 backgrounds in Romans supergravity.
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