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Supermoduli Space Is Not Projected

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arxiv 1304.7798 v2 pith:I6VM25B5 submitted 2013-04-29 hep-th math.AG

Ron Donagi , Edward Witten This is my paper · ORCID
classification hep-thmath.AG
keywords spacemoduliprojectedriemannsurfacescannotmeansorders
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We prove that for genus greater than or equal to 5, the moduli space of super Riemann surfaces is not projected (and in particular is not split): it cannot be holomorphically projected to its underlying reduced manifold. Physically, this means that certain approaches to superstring perturbation theory that are very powerful in low orders have no close analog in higher orders. Mathematically, it means that the moduli space of super Riemann surfaces cannot be constructed in an elementary way starting with the moduli space of ordinary Riemann surfaces. It has a life of its own.

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  1. Yang-Mills Theory From Super Moduli Space

    hep-th 2025-01 conditional novelty 6.0 of 10

    A spinning superparticle world-line path integral pulled back to super moduli space yields a space-time action that is Yang-Mills theory up to boundary terms and non-local corrections.

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