The torus and the Klein Bottle amplitude of permutation orbifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, syntactic corrections to v2

Scientific paper

10.1016/S0370-2693(00)00615-8

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.

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