Quantum Field Theory and Representation Theory: A Sketch
Peter Woit (Dept. of Mathematics, Columbia University)
TL;DR
This paper explores the relationship between quantum field theories and representation theory, focusing on spinor geometry and gauge group equivariant K-theory to connect these mathematical frameworks.
Contribution
It provides a conceptual overview linking quantum field theories with advanced representation theory concepts, highlighting the role of spinor geometry and K-theory.
Findings
Identifies key mathematical structures connecting QFT and representation theory
Highlights the importance of spinor geometry in this relationship
Introduces gauge group equivariant K-theory as a tool in the analysis
Abstract
A sketch is given of a circle of ideas relating quantum field theories with representation theory. The main mathematical ingredients are spinor geometry and the gauge group equivariant K-theory of the space of connections.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models