Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks

Abstract

We construct, generalizing appropriately the method applied by J. Teschner in the case of the Virasoro conformal blocks, the braiding and fusion matrices of the Neveu-Schwarz super-conformal blocks. Their properties allow for an explicit verification of the bootstrap equation in the NS sector of the N=1 supersymmetric Liouville field theory.

arXiv comment41 pages, 3 eps figures

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• Solving 3d Gravity with Virasoro TQFT
• The universal Racah-Wigner symbol for Uq(osp(1|2))
• Braiding properties of the N=1 super-conformal blocks (Ramond sector)
• Self-dual Continuous Series of Representations for U_q(sl(2)) and U_q(osp(1|2))
• Elliptic recursion for 4-point superconformal blocks and bootstrap in N=1 SLFT
• Liouville's Imaginary Shadow
• From rarefied elliptic beta integral to parafermionic star-triangle relation
• A parafermionic hypergeometric function and supersymmetric 6j-symbols
• Recurrence relations for toric N=1 superconformal blocks
• Comments on fusion matrix in N=1 super Liouville field theory
• Wormholes with Ends of the World
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator
• Modular Integrals in Minimal Super Liouville Gravity