Twisted equivariant differential K-theory from gauged supersymmetric mechanics
Daniel Berwick-Evans
TL;DR
This paper constructs twisted differential equivariant K-theory for manifolds with finite group actions using the geometry of gauged supersymmetric mechanics, providing a new geometric approach to this advanced mathematical theory.
Contribution
It introduces a novel geometric construction of twisted differential equivariant K-theory via gauged supersymmetric mechanics.
Findings
Provides a geometric model for twisted differential equivariant K-theory.
Connects supersymmetric mechanics with advanced topological K-theory.
Lays groundwork for further applications in mathematical physics.
Abstract
We use the geometry of the space of fields for gauged supersymmetric mechanics to construct the twisted differential equivariant K-theory of a manifold with an action by a finite group.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Noncommutative and Quantum Gravity Theories