On partially formal supermanifolds

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.

arXiv comment20 pages

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