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Alexander Voronov
Alexander Voronov, University of Minnesota

The superstring measure on the moduli spaces of genus-zero super Riemann surfaces

I will present a computation of tree-level superstring measures on the moduli spaces of genus-zero super Riemann surfaces with Neveu–Schwarz (NS) and Ramond punctures. The answer in the NS case is not new, but it is done using first principles, i.e., exclusively complex algebraic supergeometry and, in particular, the super Mumford isomorphism. The answer in the Ramond case is totally new, but we do not quite have it. This is joint work with S. Cacciatori and S. Grushevsky: published in the NS case and in-progress in the Ramond case.

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Sasha's notes.