Precision Bootstrap for the $\mathcal{N}=1$ Super-Ising Model

TL;DR

This paper improves the precision of scaling dimensions and OPE coefficients for the 3d minimal super-Ising model using conformal bootstrap and applies the Lorentzian inversion formula to validate results.

Contribution

It provides more accurate conformal data for the super-Ising model and demonstrates the effectiveness of combining bootstrap with the Lorentzian inversion formula.

Findings

Enhanced accuracy of scaling dimensions and OPE coefficients.

Good agreement between analytic and numerical spectra.

Resolution of mixing effects improves data reliability.

Abstract

In this note we report an improved determination of the scaling dimensions and OPE coefficients of the minimal supersymmetric extension of the 3d Ising model using the conformal bootstrap. We also show how this data can be used as input to the Lorentzian inversion formula, finding good agreement between analytic calculations and numerical extremal spectra once mixing effects are resolved.