On the fusion matrix of the N=1 Neveu-Schwarz blocks

Abstract

We propose an exact form of the fusion matrix of the Neveu-Schwarz blocks that appear in a correlation function of four super-primary fields. Orthogonality relation satisfied by this matrix is equivalent to the bootstrap equation for the four-point super-primary correlator in the N=1 supersymmetric Liouville theory.

arXiv comment28 pages, no figures

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• Solving 3d Gravity with Virasoro TQFT
• The universal Racah-Wigner symbol for Uq(osp(1|2))
• Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
• 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
• Recurrence relations for toric N=1 superconformal blocks
• Comments on fusion matrix in N=1 super Liouville field theory
• Lens partition function, pentagon identity and star-triangle relation
• Wormholes with Ends of the World
• Confluent Conformal Blocks of the Second Kind
• S-move matrix in the NS sector of $N=1$ super Liouville field theory
• Heisenberg double and Drinfeld double of the quantum superplane