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High Energy Physics - Theory

arXiv:1807.09563 (hep-th)
[Submitted on 25 Jul 2018]

Title:Superstring Field Theory, Superforms and Supergeometry

Authors:R. Catenacci, P.A. Grassi, S. Noja
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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.
Comments: LaTeX, 39pp, no figures
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)
Report number: DISIT-18, ARC-18-05
Cite as: arXiv:1807.09563 [hep-th]
  (or arXiv:1807.09563v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1807.09563

Submission history

From: Pietro Antonio Grassi [view email]
[v1] Wed, 25 Jul 2018 13:01:14 UTC (77 KB)
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