Supersymmetric field theories and generalized cohomology

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

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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