Towards a Classification of Two-Character Rational Conformal Field Theories
High Energy Physics - Theory
2019-05-22 v2 Mathematical Physics
math.MP
Number Theory
Abstract
We provide a simple and general construction of infinite families of consistent, modular-covariant pairs of characters satisfying the basic requirements to describe two-character RCFT. These correspond to solutions of generic second-order modular linear differential equations. To find these solutions, we first construct "quasi-characters" from the Kaneko-Zagier equation and subsequent works by Kaneko and collaborators, together with coset dual generalisations that we provide in this paper. We relate our construction to the Hecke images recently discussed by Harvey and Wu.
Keywords
Cite
@article{arxiv.1810.09472,
title = {Towards a Classification of Two-Character Rational Conformal Field Theories},
author = {A. Ramesh Chandra and Sunil Mukhi},
journal= {arXiv preprint arXiv:1810.09472},
year = {2019}
}
Comments
64 pages, typos corrected, proofs now provided for two claims that were previously conjectures, final version to appear in JHEP