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N=1 supersymmetric conformal block recursion relations

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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.

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Authors and Affiliations

  1. Institute for Theoretical and Experimental Physics, Moscow, Russia

    V. A. Belavin

  2. International School for Advanced Studies (SISSA), Trieste, Italy

    V. A. Belavin

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  1. V. A. Belavin
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Correspondence to V. A. Belavin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 3, pp. 476–487, September, 2007.

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Belavin, V.A. N=1 supersymmetric conformal block recursion relations. Theor Math Phys 152, 1275–1285 (2007). https://doi.org/10.1007/s11232-007-0112-2

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  • DOI: https://doi.org/10.1007/s11232-007-0112-2

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