Characters of coinvariants in (1,p) logarithmic models

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.

LaTeX 17 pages, several citations added

References in corpus (7)

• Logarithmic Minimal Models
• Logarithmic extensions of minimal models: characters and modular transformations
• On Fusion Rules in Logarithmic Conformal Field Theories
• Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras
• Integrable Boundary Conditions and W-Extended Fusion in the Logarithmic Minimal Models LM(1,p)
• W-Extended Logarithmic Minimal Models
• Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal Field Theories

Cited by in corpus (3)

• Conformal Manifolds in Four Dimensions and Chiral Algebras
• Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models
• Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models