The torus and the Klein Bottle amplitude of permutation orbifolds

Abstract

The torus and the Klein bottle amplitude coefficients are computed in permutation orbifolds of RCFT-s in terms of the same quantities in the original theory and the twist group. An explicit expression is presented for the number of self conjugate primaries in the orbifold as a polynomial of the total number of primaries and the number of self conjugate ones in the parent theory. The formulae in the $Z_2$ orbifold illustrate the general results.

8 pages, syntactic corrections to v2

References in corpus (4)

• Planar Duality in $SU(2)$ WZW Models
• Systematic approach to cyclic orbifolds
• The Frobenius-Schur indicator in Conformal Field Theory
• Characters and modular properties of permutation orbifolds

Cited by in corpus (2)

• TFT construction of RCFT correlators II: Unoriented world sheets
• DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold