Permutation orbifolds

Details Permutation orbifolds Permutation orbifolds

1999-10-08

arxiv.org/abs/hep-th/9910079v1

Nucl.Phys. B633 (2002) 365-378

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1016/S0550-3213(02)00198-0

A general theory of permutation orbifolds is developed for arbitrary twist groups. Explicit expressions for the number of primaries, the partition function, the genus one characters, the matrix elements of modular transformations and for fusion rule coefficients are presented, together with the relevant mathematical concepts, such as Lambda-matrices and twisted dimensions. The arithmetic restrictions implied by the theory for the allowed modular representations in CFT are discussed. The simplest nonabelian example with twist group S_3 is described to illustrate the general theory.

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