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.

arXiv comment19 pages, LaTeX; v2: typos corrected. This is the version accepted for publication in Nucl. Phys. B

References in corpus (21)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Dilogarithm identities
• A Rational Logarithmic Conformal Field Theory
• Symplectic Fermions
• An algebraic approach to logarithmic conformal field theory
• On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators
• Fermionic Sum Representations for Conformal Field Theory Characters
• Fermionic Quasi-Particle Representations for Characters of $(G^{(1)}{)}_1\times (G^{(1)}{)}_1ø(G^{(1)}{)}_2$
• Quasi-particles models for the representations of Lie algebras and geometry of flag manifold
• Curiosities at c=-2
• On Fusion Rules in Logarithmic Conformal Field Theories
• Dilogarithm Identities in Conformal Field Theory
• 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
• Spinon basis for higher level SU(2) WZW models
• Rogers-Schur-Ramanujan type identities for the $M(p,p^{\prime })$ minimal models of conformal field theory
• Construction of Modular Branching Functions from Bethe's Equations in the 3-State Potts Chain
• Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model
• The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory
• The connection between statistical mechanics and quantum field theory

Cited by in corpus (13)

• The N=1 triplet vertex operator superalgebras
• Generalized twisted modules associated to general automorphisms of a vertex operator algebra
• 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
• What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT
• Towards the Construction of Local Logarithmic Conformal Field Theories
• C_2-cofinite W-algebras and their logarithmic representations
• Higher string functions, higher-level Appell functions, and the logarithmic ^sl(2)_k/u(1) CFT model
• Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory
• Characters of coinvariants in (1,p) logarithmic models
• Cofiniteness conditions, projective covers and the logarithmic tensor product theory
• Exponents Associated with $Y$-Systems and their Relationship with $q$-Series