REVIEW 2 cited by
Rational CFT With Three Characters: The Quasi-Character Approach
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
read the original abstract
Quasi-characters are vector-valued modular functions having an integral, but not necessarily positive, q-expansion. Using modular differential equations, a complete classification has been provided in arXiv:1810.09472 for the case of two characters. These in turn generate all possible admissible characters, of arbitrary Wronskian index, in order two. Here we initiate a study of the three-character case. We conjecture several infinite families of quasi-characters and show in examples that their linear combinations an generate admissible characters with arbitrarily large Wronskian index. The structure is completely different from the order two case, and the novel coset construction of arXiv:1602.01022 plays a key role in discovering the appropriate families. Using even unimodular lattices, we construct some explicit three-character CFT corresponding to the new admissible characters.
Forward citations
Cited by 2 Pith papers
-
Unlocking the Wronskian Tower: A Simplification of the Holomorphic Modular Bootstrap
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.
-
R\'enyi entropy of single-character CFTs on the torus
A Wronskian-based method gives explicit torus conformal blocks for the Z2 orbifold of E8,1, yielding a two-periodic twist two-point function and the second Rényi entropy with universal logarithmic divergence plus UV-f...
Discussion (0). Continue with ORCID to comment.