Period Integrals, Quantum Numbers and Confinement in SUSY QCD

TL;DR

This paper computes period integrals on degenerate Seiberg-Witten curves in SUSY QCD to understand how quantum numbers change across coupling regimes, shedding light on monopole confinement and phase transitions.

Contribution

It provides a direct calculation of period integrals in SUSY QCD and clarifies their role in quantum number changes and monopole confinement across different coupling phases.

Findings

Period integrals determine quantum number shifts.

Monopole confinement persists despite moduli space ambiguities.

Strong-coupling phases show condensed light dyons.

Abstract

We present a direct computation of the period integrals on degenerate Seiberg-Witten curves for supersymmetric QCD, and show how these periods determine the changes in the quantum numbers of the states, when passing from the weak to the strong-coupling domains in the mass moduli space of the theory. The confinement of monopoles at strong coupling is discussed, and we demonstrate that the ambiguities in choosing the way in the moduli space do not influence to the physical conclusions on confinement of monopoles in the phase with the condensed light dyons.