Simple Current Actions of Cyclic Groups

Details Simple Current Actions of Cyclic Groups Simple Current Actions of Cyclic Groups

2004-10-30

arxiv.org/abs/hep-th/0411007v2

Lett.Math.Phys. 71 (2005) 227-239

Physics

High Energy Physics

High Energy Physics - Theory

Added reference, minor changes

Scientific paper

10.1007/s11005-005-0630-5

Permutation actions of simple currents on the primaries of a Rational Conformal Field Theory are considered in the framework of admissible weighted permutation actions. The solution of admissibility conditions is presented for cyclic quadratic groups: an irreducible WPA corresponds to each subgroup of the quadratic group. As a consequence, the primaries of a RCFT with an order n integral or half-integral spin simple current may be arranged into multiplets of length k^2 (where k is a divisor of n) or 3k^2 if the spin of the simple current is half-integral and k is odd.

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