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arxiv: 1108.0189 · v1 · pith:QJWTZWRLnew · submitted 2011-07-31 · 🧮 math.AT

Supersymmetric field theories and generalized cohomology

classification 🧮 math.AT
keywords theoriesfieldcohomologysupersymmetricresultsaxiomscarefulconcerning
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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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    Derives a residue formula for elliptic genera in 2d (0,1) gauge theories that recovers the Jeffrey-Kirwan prescription for (0,2) theories and applies it to the Gukov-Pei-Putrov model to study its phase structure.