Superstring field theory, superforms and supergeometry

JOURNAL OF GEOMETRY AND PHYSICS

卷:148

Article

Catenacci, Roberto^1,2,3  Grassi, Pietro Antonio^1,3,4  Noja, Simone^1,4 

[1] Univ Piemonte Orientale, Dipartimento Sci & Innovaz Tecnol, Via T Michel 11, I-15121 Alessandria, Italy

[2] InDAM, Grp Nazl Fis Matemat, Piazzale Aldo Moro 5, I-00185 Rome, Italy

[3] Arnold Regge Ctr, Via P Giuria, I-10125 Turin, Italy

[4] INFN, Sez Torino, Via P Giuria 1, I-10125 Turin, Italy

关键词: Superstrings;    Supergeometry;    Supermanifolds;   

DOI  :  10.1016/j.geomphys.2019.103559

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free