Characters of coinvariants in (1,p) logarithmic models

TL;DR

This paper studies the structure of induced modules and coinvariants in (1,p) logarithmic models, providing fermionic formulas for characters and insights into module multiplicities in fusion processes.

Contribution

It introduces fermionic formulas for characters of induced modules and coinvariants, revealing new details about module multiplicities in (1,p) logarithmic models.

Findings

Fermionic formulas for characters of induced modules

Characterization of coinvariants in irreducible modules

Multiplicities of projective modules in fusion processes

Abstract

We investigate induced modules of doublet algebra in (1,p) logarithmic models. We give fermionic formulas for the characters of induced modules and coinvariants with respect to different subalgebras calculated in the irreducible modules. The characters of coinvariants give multiplicities of projective modules in fusion of induced modules.