# Suzuki equations and integrals of motion for supersymmetric CFT

## TL;DR

This paper numerically computes the first three integrals of motion for N=1 supersymmetric conformal field theory using Suzuki's equations, confirming their consistency with the ODE-CFT correspondence.

## Contribution

It applies Suzuki's equations to supersymmetric CFT to explicitly calculate integrals of motion, providing numerical validation of the ODE-CFT correspondence in this context.

## Key findings

- Numerical values of the first three integrals of motion match theoretical predictions.
- Validation of Suzuki equations in the context of supersymmetric CFT.
- Confirmation of the ODE-CFT correspondence for N=1 supersymmetric models.

## Abstract

Using equations proposed by J. Suzuki we compute numerically the first three integrals of motion for $N=1$ supersymmetric CFT. Our computation agrees with the results of ODE-CFT correspondence which was explained in a more general context by S. Lukyanov.