Supersymmetric field theories and generalized cohomology
Stephan Stolz, Peter Teichner
TL;DR
This survey explores the connection between supersymmetric Euclidean field theories and generalized cohomology theories, refining axioms and outlining proofs of their relationships.
Contribution
It provides a refined definition of supersymmetric Euclidean field theories and outlines key results linking these theories to cohomology.
Findings
Refined axioms for supersymmetric Euclidean field theories
Established connections between field theories and cohomology theories
Outlined proofs of key theorems relating theories to cohomology
Abstract
This survey discusses our results and conjectures concerning supersymmetric field theories and their relationship to cohomology theories. A careful definition of supersymmetric Euclidean field theories is given, refining Segal's axioms for conformal field theories. We state and give an outline of the proof of various results relating field theories to cohomology theories.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra