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On partially formal supermanifolds

Anatoly Konechny·Albert Schwarz
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Abstract

We define a finite-dimensional partially formal supermanifold as a manifold having $q$ odd coordinates and $k + l$ even coordinates with $l$ 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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Anatoly Konechny, Albert Schwarz. 2023-10-18. On partially formal supermanifolds. https://doi.org/10.1007/bfb0105247

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