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On partially formal supermanifolds

High Energy Physics - Theory 2023-10-19 v2

Abstract

We define a finite-dimensional partially formal supermanifold as a manifold having qq odd coordinates and k+lk + l even coordinates with ll of them taking only nilpotent values. We show that this notion can be used to formulate superconformal field theories with different numbers of supersymmetries in holomorphic and antiholomorphic sectors.

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Cite

@article{arxiv.hep-th/9706003,
  title  = {On partially formal supermanifolds},
  author = {Anatoly Konechny and Albert Schwarz},
  journal= {arXiv preprint arXiv:hep-th/9706003},
  year   = {2023}
}

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20 pages