# Quantum periods and prepotential in ${\cal N}=2$ SU(2) SQCD

## TL;DR

This paper investigates the quantum deformations of the Seiberg-Witten theory for ${
m SU}(2)$ supersymmetric QCD with massive hypermultiplets, calculating the deformed periods explicitly up to fourth order in the deformation parameter.

## Contribution

It provides explicit calculations of deformed Seiberg-Witten periods in ${
m SU}(2)$ SQCD with massive hypermultiplets within the Nekrasov-Shatashvili limit, advancing understanding of quantum effects in the low-energy theory.

## Key findings

- Explicit fourth-order deformed periods around the massless monopole point.
- Application of WKB solutions to quantum Seiberg-Witten curves.
- Enhanced understanding of quantum corrections in ${
m SU}(2)$ SQCD.

## Abstract

We study ${\cal N}=2$ SU(2) supersymmetric QCD with massive hypermultiplets deformed in the Nekrasov-Shatashvili limit of the Omega-background. The prepotential of the low-energy effective theory is determined by the WKB solution of the quantum Seiberg-Witten curve. We calculate the deformed Seiberg-Witten periods around the massless monoplole point explicitly up to the fourth order in the deformation parameter.