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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

classification hep-thmath-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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 25 citations worldwide. Full citation record

  1. Loop Corrected Supercharges from Holomorphic Anomalies

    hep-th 2025-12 conditional novelty 6.0 of 10

    The complete one-loop supercharge for 4d Lagrangian SUSY gauge theories is derived in the holomorphic twist, packaged for N=4 SYM as a compact superfield formula.

  2. A Crash Course in Supersymmetric Field Theory Across Dimensions

    hep-th 2026-07 unverdicted novelty 2.0 of 10

    Pedagogical crash-course notes on supersymmetric field theory across 2–10 dimensions, organized around recurring structures such as holomorphy, dualities, indices, BPS data, and anomalies.

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