On Microscopic Origin of Integrability in Seiberg-Witten Theory

TL;DR

This paper explores the microscopic roots of integrability in Seiberg-Witten theory, extending previous results and providing explicit formulas for specific cases using advanced mathematical techniques.

Contribution

It offers new insights into the microscopic origin of integrability and extends prior work with explicit formulas for theories with higher perturbations.

Findings

Explicit formulas for theories with higher perturbations

Extension of previous results on integrability in Seiberg-Witten theory

Application of bosonization and elliptic uniformization techniques

Abstract

We discuss microscopic origin of integrability in Seiberg-Witten theory, following mostly the results of hep-th/0612019, as well as present their certain extension and consider several explicit examples. In particular, we discuss in more detail the theory with the only switched on higher perturbation in the ultraviolet, where extra explicit formulas are obtained using bosonization and elliptic uniformization of the spectral curve.