The Cardy-Cartan modular invariant

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.

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

References in corpus (2)

• The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity
• A modular invariant bulk theory for the c=0 triplet model

Cited by in corpus (5)

• From non-semisimple Hopf algebras to correlation functions for logarithmic CFT
• The logarithmic Cardy case: Boundary states and annuli
• Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra
• Full Logarithmic Conformal Field theory - an Attempt at a Status Report
• Hopf and Frobenius algebras in conformal field theory