Pith. sign in

REVIEW 4 cited by

Two-dimensional RCFT's without Kac-Moody symmetry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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 1605.03314 v1 pith:ETHFYZI5 submitted 2016-05-11 hep-th

Two-dimensional RCFT's without Kac-Moody symmetry

Harsha R. Hampapura , Sunil Mukhi This is my paper
classification hep-th
keywords charactersdualkac-moodyminimalmodelsmoduletheoriesaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Using the method of modular-invariant differential equations, we classify a family of Rational Conformal Field Theories with two and three characters having no Kac-Moody algebra. In addition to unitary and non-unitary minimal models, we find "dual" theories whose characters obey bilinear relations with those of the minimal models to give the Moonshine Module. In some ways this relation is analogous to cosets of meromorphic CFT's. The theory dual in this sense to the Ising model has central charge 47/2 and is related to the Baby Monster Module.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

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

  1. Parafermionizing the Monster

    hep-th 2026-05 conditional novelty 7.0

    Assuming a conjectural decomposition of the Monster character, the Monster CFT has Rep(so(3)_p) symmetry for every odd prime p, and the associated defect McKay-Thompson series have invariance subgroup Γ1(p+2).

  2. Unlocking the Wronskian Tower: A Simplification of the Holomorphic Modular Bootstrap

    hep-th 2026-07 conditional novelty 6.0

    A differential operator Θ = η^{-4}D relates MLDE solutions across Wronskian sectors, reducing higher-ℓ quasi-character classification in ranks 2 and 3 to ℓ=0 data and proving the ℓ=2 sign conjecture.

  3. Parafermionizing the Monster

    hep-th 2026-05 unverdicted novelty 6.0

    Parafermionization equates the Monster CFT to a gauged parafermion pair, yielding Rep(so(3)_p) symmetry and defect McKay-Thompson series invariant under Gamma_1(p+2).

  4. Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

    hep-th 2024-09 unverdicted novelty 6.0

    High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and assoc...