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

TL;DR

This paper derives fermionic sum representations for the characters of c(p,1) logarithmic conformal field theories, providing a new fermionic perspective and linking to dilogarithm identities.

Contribution

It introduces a unified fermionic sum form for all characters of c(p,1) models and offers a physical interpretation.

Findings

Fermionic sum representations for c(p,1) characters are established.

A method to extract dilogarithm identities from these representations is demonstrated.

The results deepen understanding of the structure of 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.