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All types of 4-point spheric conformal blocks in both sectors of N=1superconformal field theory are introduced and analyzed. The ellipticrecurrence formulae are derived for all the types of blocks not previouslydiscussed in the literature. The results are used for numerical verification ofthe crossing symmetry of some 4-point functions in the N=1 superconformalLiouville field theory.

Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT