Confluent primary fields in the conformal field theory

Details Confluent primary fields in the conformal field theory Confluent primary fields in the conformal field theory

2010-02-12

arxiv.org/abs/1002.2598v4

J.Phys.A43:465203,2010

Physics

Mathematical Physics

15 pages. Corrected typos. Proposition 3.1 rewritten. Other minor changes, title changed

Scientific paper

10.1088/1751-8113/43/46/465203

For any complex simple Lie algebra, we generalize primary fileds in the Wess-Zumino-Novikov-Witten conformal field theory with respect to the case of irregular singularities and we construct integral representations of hypergeometric functions of confluent type, as expectation values of products of generalized primary fields. In the case of sl(2), these integral representations coincide with solutions to confluent KZ equations. Computing the operator product expansion of the energy-momentum tensor and the generalized primary field, new differential operators appear in the result. In the case of sl(2), these differential operators are the same as those of the confluent KZ equations.

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