On the N=1* Gauge Theory on a Circle and Elliptic Integrable Systems

Understand

We continue our study of the N=1* supersymmetric gauge theory and its relation to elliptic integrable systems.

• Upon compactification on a circle, we show that the semi-classical analysis of the massless and massive vacua depends on the classification of nilpotent orbits, as well as on the conjugacy classes of the component group of their centralizer.
• We demonstrate that semi-classically massless vacua can be lifted by Wilson lines in unbroken discrete gauge groups.
• The pseudo-Levi subalgebras that play a classifying role in the nilpotent orbit theory are also key in defining generalized Inozemtsev limits of (twisted) elliptic integrable systems.