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.
Logarithmic Operators in Conformal Field Theory
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
representative citing papers
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 non-abelian fusion.
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 shown equivalent to prior linearized results.
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.
The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.
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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 non-abelian fusion.
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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 shown equivalent to prior linearized results.
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Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes
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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Bosonic Ghost Correlators: A Case Study
The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.
- Unified Virasoro Flow in Critical Topologically Massive Gravity: Monodromy, Indecomposable Structures, and Logarithmic Correlation Functions