N=1 SUSY Conformal Block Recursive Relations

Details N=1 SUSY Conformal Block Recursive Relations N=1 SUSY Conformal Block Recursive Relations

2006-11-27

arxiv.org/abs/hep-th/0611295v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, typos corrected, reference added

Scientific paper

10.1007/s11232-007-0112-2

We present explicit recursive 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. The results are compared with the explicit analytic expressions obtained for special parameter values corresponding to the truncated operator product expansion. These recursive relations are an efficient tool for numerically studying the four-point correlation function in Super Conformal Field Theory in the framework of the bootstrap approach, similar to that in the case of the purely conformal symmetry.

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