The Neveu-Schwarz group and Schwarz's extended super Mumford form
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In 1987, Albert Schwarz suggested a formula which extends the super Mumford form from the moduli space of super Riemann surfaces into the super Sato Grassmannian. His formula is a remarkably simple combination of super tau functions. We compute the Neveu-Schwarz action on super tau functions, and show that Schwarz's extended Mumford form is invariant under the the super Heisenberg-Neveu-Schwarz action, which strengthens Schwarz's proposal that a locus within the Grassmannian can serve as a universal moduli space with applications to superstring theory. Along the way, we construct the Neveu-Schwarz, super Witt, and super Heisenberg formal groups.
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Cited by 1 Pith paper
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Derived Geometric Methods in Supergeometry: Transmutations and their Cohomology
Develops derived categories on superstacks and uses transmutation stacks to prove results on D-modules and the isomorphism of de Rham and super de Rham cohomology.
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