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

TL;DR

This paper derives an exact fusion matrix for N=1 Neveu-Schwarz blocks in superconformal field theory, linking it to the bootstrap equation in N=1 supersymmetric Liouville theory, advancing understanding of superconformal correlators.

Contribution

It provides the explicit form of the fusion matrix for Neveu-Schwarz blocks, a key component in superconformal bootstrap analysis.

Findings

Fusion matrix explicitly derived for N=1 Neveu-Schwarz blocks.

Orthogonality relation matches the bootstrap equation.

Connects fusion matrix to superconformal bootstrap consistency.

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.