English

The Cardy-Cartan modular invariant

High Energy Physics - Theory 2017-08-23 v2 Quantum Algebra

Abstract

Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essential features with the ones appearing in logarithmic CFT. The coefficients of such a partition function are given by the Cartan matrix of the theory.

Keywords

Cite

@article{arxiv.1201.4267,
  title  = {The Cardy-Cartan modular invariant},
  author = {Jurgen Fuchs and Christoph Schweigert and Carl Stigner},
  journal= {arXiv preprint arXiv:1201.4267},
  year   = {2017}
}

Comments

extended version of a contribution to the Maximilian Kreuzer Memorial Volume. v2: typos corrected

R2 v1 2026-06-21T20:07:30.147Z