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The resolution of field identification fixed points in diagonal coset theories

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arxiv hep-th/9509105 v1 pith:Y3SZ23YC submitted 1995-09-20 hep-th math.QAq-alg

The resolution of field identification fixed points in diagonal coset theories

J"urgen Fuchs , Bert Schellekens , Christoph Schweigert This is my paper
classification hep-th math.QAq-alg
keywords charactersdiagonalfixedidentificationalgebrasbranchingcosetfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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