Pith. sign in

REVIEW 7 cited by

Logarithmic Operators in Conformal Field Theory

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/9303160 v2 pith:CV6QZGSL submitted 1993-03-29 hep-th

classification hep-th
keywords fieldoperatorstheoryconformalcorrelationfunctionslogarithmicsingularities
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 7 Pith papers

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

  1. Non-Hermitian Holographic Flows to Little Rip Cosmologies

    hep-th 2026-07 conditional novelty 8.0 of 10

    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-...

  2. Non-Hermitian free-fermion critical systems and logarithmic conformal field theory

    cond-mat.str-el 2026-02 unverdicted novelty 7.0 of 10

    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.

  3. Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models

    math-ph 2025-01 conditional novelty 7.0 of 10

    For all coprime (p,p'), the dense A_1^(1) and dilute A_2^(2) loop models are conjectured to have identical torus conformal partition functions, supporting a common logarithmic universality class.

  4. Logarithmic operators in $c=0$ bulk CFTs

    hep-th 2024-11 conditional novelty 7.0 of 10

    The bulk energy four-point function in percolation and self-avoiding walk CFTs is non-zero at c=0, driven by coupling to a rank-3 Jordan block associated with the second energy operator.

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

    cond-mat.stat-mech 2019-07 unverdicted novelty 7.0 of 10

    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...

  6. Bosonic Ghost Correlators: A Case Study

    math.QA 2026-05 unverdicted novelty 6.0 of 10

    The bosonic ghost system admits four-point correlation functions expressible via hypergeometric functions that contain logarithmic singularities.

  7. Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    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.

Pith tools