Fermionic Expressions for the Characters of c(p,1) Logarithmic Conformal Field Theories

Abstract

We present fermionic quasi-particle sum representations consisting of a single fundamental fermionic form for all characters of the logarithmic conformal field theory models with central charge c(p,1), p>=2, and suggest a physical interpretation. We also show that it is possible to correctly extract dilogarithm identities.

19 pages, LaTeX; v2: typos corrected. This is the version accepted for publication in Nucl. Phys. B

References in corpus (3)

• Virasoro representations and fusion for general augmented minimal models
• Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras
• Logarithmic torus amplitudes

Cited by in corpus (10)

• The N=1 triplet vertex operator superalgebras
• Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models
• On Verlinde-Like Formulas in c_{p,1} Logarithmic Conformal Field Theories
• Toward logarithmic extensions of ^sl(2)_k conformal field models
• Towards the Construction of Local Logarithmic Conformal Field Theories
• C_2-cofinite W-algebras and their logarithmic representations
• Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory
• Higher string functions, higher-level Appell functions, and the logarithmic ^sl(2)_k/u(1) CFT model
• Characters of coinvariants in (1,p) logarithmic models
• Cofiniteness conditions, projective covers and the logarithmic tensor product theory