On the Monodromies of N=2 Supersymmetric Yang-Mills Theory
A. Klemm, W. Lerche, S. Theisen, S. Yankielowicz
TL;DR
This paper reviews the extension of Seiberg-Witten theory from SU(2) to SU(n) gauge groups, focusing on the structure of quantum moduli spaces, associated Riemann surfaces, and monodromies in N=2 supersymmetric Yang-Mills theory.
Contribution
It generalizes the Seiberg-Witten framework to SU(n) gauge groups, detailing the geometry of moduli spaces and monodromies for higher rank theories.
Findings
Quantum moduli spaces are parametrized by hyperelliptic genus n-1 Riemann surfaces.
The structure of monodromies is characterized for SU(n) gauge groups.
The massless spectrum is analyzed within the generalized framework.
Abstract
We review the generalization of the work of Seiberg and Witten on N=2 supersymmetric SU(2) Yang-Mills theory to SU(n) gauge groups. The quantum moduli spaces of the effective low energy theory parametrize a special family of hyperelliptic genus n-1 Riemann surfaces. We discuss the massless spectrum and the monodromies.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic Geometry and Number Theory