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- W2883057360 abstract "Inspired by superstring field theory, we study differential, integral, and inverse forms and their mutual relations on a supermanifold from a sheaf-theoretical point of view. In particular, the formal distributional properties of integral forms are recovered in this scenario in a geometrical way. Further, we show how inverse forms extend the ordinary de Rham complex on a supermanifold, thus providing a mathematical foundation of the Large Hilbert Space used in superstrings. Last, we briefly discuss how the Hodge diamond of a supermanifold looks like, and we explicitly compute it for super Riemann surfaces." @default.
- W2883057360 created "2018-08-03" @default.
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- W2883057360 date "2018-07-25" @default.
- W2883057360 modified "2023-09-25" @default.
- W2883057360 title "Superstring Field Theory, Superforms and Supergeometry" @default.
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- W2883057360 doi "https://doi.org/10.48550/arxiv.1807.09563" @default.
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