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An introduction to supersymmetric field theories in curved space

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arxiv 1608.02957 v3 pith:TRDJ3C7Q submitted 2016-08-09 hep-th math-phmath.MP

An introduction to supersymmetric field theories in curved space

classification hep-th math-phmath.MP
keywords theoriescurveddimensionsfieldframeworkintroductionsupersymmetricsupersymmetry
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In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background fields. We present the general principles, which broadly apply to theories with different amounts of supersymmetry in diverse dimensions, as well as specific applications to N=1 theories in four dimensions and their three-dimensional cousins with N=2 supersymmetry.

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