Projections of Virasoro Singular Vectors

Abstract

We use recently derived explicit formulae for the Virasoro algebra's singular vectors to give constructive proofs of three results due to Feigin and Fuchs. The main result, which is needed for a rigorous treatment of fusion, describes the action of the singular vectors on conformal fields.

11 pp

References in corpus (2)

• Singular Vectors of the Virasoro Algebra
• Signature Characters for the Virasoro Algebra

Cited by in corpus (7)

• Null vectors, 3-point and 4-point functions in conformal field theory
• Null vectors of the superconformal algebra: the Ramond sector
• Quantum curves and conformal field theory
• Norms of logarithmic primaries of Virasoro algebra
• Singular vectors of the $W{A}_2$ algebra
• Null vectors of the $WB{C}_2$ algebra
• Fusion rules for the Virasoro algebra of central charge 25