N=1 supersymmetric conformal block recursion relations
We present explicit recursion relations for the four-point superconformal block functions that are essentially particular contributions of the given conformal class to the four-point correlation function. The approach is based on the analytic properties of the superconformal blocks as functions of the conformal dimensions and the central charge of the superconformal algebra. We compare the results with the explicit analytic expressions obtained for special parameter values corresponding to the truncated operator product expansion. These recursion relations are an efficient tool for numerically studying the four-point correlation function in superconformal field theory in the framework of the bootstrap approach, similar to that in the case of the purely conformal symmetry.
KeywordsN=1 superconformal field theory four-point conformal block function recursion relation
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- 14.A. B. Zamolodchikov and Al. B. Zamolodchikov, “Conformal field theory and 2-D critical phenomena: Part III. Conformal bootstrap and degenerate representations of conformal algebra,” Preprint ITEP-90-31, Inst. Theor. Exper. Phys., Moscow (1990).Google Scholar