Theoretical and Mathematical Physics

, Volume 152, Issue 3, pp 1275–1285 | Cite as

N=1 supersymmetric conformal block recursion relations

Article

Abstract

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.

Keywords

N=1 superconformal field theory four-point conformal block function recursion relation 

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Institute for Theoretical and Experimental PhysicsMoscowRussia
  2. 2.International School for Advanced Studies (SISSA)TriesteItaly

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