BPS States, Weight Spaces and Vanishing Cycles
W.Lerche
TL;DR
This paper explores the mathematical structure of BPS states in supersymmetric theories, linking group theory, homology, and vanishing cycles, with implications for string theory and quantum field theory.
Contribution
It provides a unified review of BPS state properties, connecting group theory with topological methods in supersymmetric gauge theories.
Findings
Relates BPS states to singular homology of level surfaces
Highlights applications to N=2 supersymmetric Yang-Mills theory
Discusses potential extensions to string theory
Abstract
We review some simple group theoretical properties of BPS states, in relation with the singular homology of level surfaces. Primary focus is on classical and quantum N=2 supersymmetric Yang-Mills theory, though the considerations can be applied to string theory as well.
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