Recurrence relations for toric N=1 superconformal blocks

TL;DR

This paper derives recurrence relations for 1-point toric superconformal blocks in N=1 theories, enabling efficient computation of these blocks across all sectors.

Contribution

It introduces a systematic method to obtain recurrence relations for superconformal blocks by analyzing residues and asymptotics, advancing computational techniques in superconformal field theories.

Findings

Derived recurrence relations for superconformal block coefficients

Unified analysis across all sectors of N=1 superconformal theories

Enhanced computational framework for superconformal blocks

Abstract

General 1-point toric blocks in all sectors of N=1 superconformal field theories are analyzed. The recurrence relations for blocks coefficients are derived by calculating their residues and large $\Delta$ asymptotics.