The resolution of field identification fixed points in diagonal coset theories

Details The resolution of field identification fixed points in diagonal coset theories The resolution of field identification fixed points in diagonal coset theories

1995-09-20

arxiv.org/abs/hep-th/9509105v1

Nucl.Phys. B461 (1996) 371-406

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 32 pages

Scientific paper

10.1016/0550-3213(95)00623-0

The fixed point resolution problem is solved for diagonal coset theories. The primary fields into which the fixed points are resolved are described by submodules of the branching spaces, obtained as eigenspaces of the automorphisms that implement field identification. To compute the characters and the modular S-matrix we use `orbit Lie algebras' and `twining characters', which were introduced in a previous paper (hep-th/9506135). The characters of the primary fields are expressed in terms of branching functions of twining characters. This allows us to express the modular S-matrix through the S-matrices of the orbit Lie algebras associated to the identification group. Our results can be extended to the larger class of `generalized diagonal cosets'.

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