S-matrix in orbifold theory

Abstract

The restricted $S$-matrix of $V^G$ is determined for any regular vertex operator algebra $V$ and finite automorphism group $G$ of $V.$ As an application, the $S$-matrices for cyclic permutation orbifolds of prime orders are computed.

21 pages

References in corpus (7)

• Modular invariance of trace functions in orbifold theory
• Characters and modular properties of permutation orbifolds
• C_2-cofiniteness of cyclic-orbifold models
• Congruence Property In Conformal Field Theory
• Algebraic orbifold conformal field theories
• Solitons in Affine and Permutation Orbifolds
• Twisted modules and $G$-equivariantization in logarithmic conformal field theory