
TL;DR
This paper derives explicit formulas for signature characters of Virasoro algebra representations, completing prior analysis and aiding understanding of ghost states in non-unitary conformal field theories.
Contribution
It provides new expressions for signature characters of Virasoro algebra highest weight representations, extending Friedan-Qiu-Shenker's work.
Findings
Explicit formulas for signature characters derived.
Completes previous analysis of Virasoro representations.
Enhances understanding of ghost states in non-unitary theories.
Abstract
The number of ghost states at each energy level in a non-unitary conformal field theory is encoded in the signature characters of the relevant Virasoro algebra highest weight representations. We give expressions for these signature characters. These results complete Friedan-Qiu-Shenker's analysis of the Virasoro algebra's highest weight representations.
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