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

Abstract

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

36 pages, 3 figures, added references

References in corpus (9)

• Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
• N=1 SUSY Conformal Block Recursive Relations
• On the N=1 super Liouville four-point functions
• Elliptic recurrence representation of the N=1 Neveu-Schwarz blocks
• On the fusion matrix of the N=1 Neveu-Schwarz blocks
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• Higher Equations of Motion in N = 1 SUSY Liouville Field Theory
• Norms of logarithmic primaries of Virasoro algebra
• Conformal blocks related to the R-R states in the \hat c =1 SCFT

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• Liouville's Imaginary Shadow
• The S-Matrix of 2D Type 0B String Theory Part 1: Perturbation Theory Revisited
• Recurrence relations for toric N=1 superconformal blocks
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• On new exact conformal blocks and Nekrasov functions