Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups

TL;DR

This paper proposes integrable systems based on inhomogeneous XXX spin chains with boundary conditions for N=2 SQCD with SO(n) and Sp(n) gauge groups, linking reflection matrices to orientifold planes.

Contribution

It introduces a novel integrable system framework for N=2 SQCD with classical gauge groups using reflection matrices and brane constructions.

Findings

Integrable systems are described by inhomogeneous XXX spin chains with boundary conditions.

Reflection matrices are associated with orientifold planes in brane setups.

Possible deformations of the integrable systems are briefly discussed.

Abstract

Integrable systems underlying the Seiberg-Witten solutions for the N=2 SQCD with gauge groups SO(n) and Sp(n) are proposed. They are described by the inhomogeneous XXX spin chain with specific boundary conditions given by reflection matrices. We attribute reflection matrices to orientifold planes in the brane construction and briefly discuss its possible deformations.