Extended Operator Algebra and Reducibility in the WZW Permutation Orbifolds

Details Extended Operator Algebra and Reducibility in the WZW Permutation Orbifolds Extended Operator Algebra and Reducibility in the WZW Permutation Orbifolds

2002-08-13

arxiv.org/abs/hep-th/0208087v2

Int.J.Mod.Phys. A18 (2003) 1773-1826

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, typos fixed

Scientific paper

10.1142/S0217751X03013971

Recently the operator algebra, including the twisted affine primary fields, and a set of twisted KZ equations were given for the WZW permutation orbifolds. In the first part of this paper we extend this operator algebra to include the so-called orbifold Virasoro algebra of each WZW permutation orbifold. These algebras generalize the orbifold Virasoro algebras (twisted Virasoro operators) found some years ago in the cyclic permutation orbifolds. In the second part, we discuss the reducibility of the twisted affine primary fields of the WZW permutation orbifolds, obtaining a simpler set of single-cycle twisted KZ equations. Finally we combine the orbifold Virasoro algebra and the single-cycle twisted KZ equations to investigate the spectrum of each orbifold, identifying the analogues of the principal primary states and fields also seen earlier in cyclic permutation orbifolds. Some remarks about general WZW orbifolds are also included.

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