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Publication
Commun. Math. Phys.
Paper
Sewing Polyakov amplitudes I: Sewing at a fixed conformal structure
Abstract
We consider the problem of reconstructing the correlation functions of a conformal field theory on a surface Σ from the correlation functions on a surface Σ′ obtained from Σ by cutting along a closed curve. We show that under quite general conditions, the correlation functions on the cut surface can be "sewn" by integrating over appropriate boundary valuess of the field. © 1990 Springer-Verlag.