On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model

Details On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model On structure constants and fusion rules in the $SL(2,\BC)/SU(2)$ WZNW model

1997-12-31

arxiv.org/abs/hep-th/9712256v2

Nucl.Phys. B546 (1999) 390-422

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, AMSLATEX2e, discussion of canonical quantization and fusion rules clarified, a few corrections

Scientific paper

10.1016/S0550-3213(99)00072-3

A closed formula for the structure constants in the SL(2,C)/SU(2) WZNW model is derived by a method previously used in Liouville theory. With the help of a reflection amplitude that follows from the structure constants one obtains a proposal for the fusion rules from canonical quantization. Taken together these pieces of information allow an unambigous definition of any genus zero n-point function.

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