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Journal of High Energy Physics

, 2016:35

First Online: 12 December 2016Received: 19 July 2016Accepted: 30 November 2016 Abstract

The super Schottky uniformization of compact super Riemann surfaces is briefly reviewed. Deformations of super Riemann surface by gravitinos and Beltrami parameters are recast in terms of super Schottky group cohomology. It is checked that the super Schottky group formula for the period matrix of a non-split surface matches its expression in terms of a gravitino and Beltrami parameter on a split surface. The relationship between super Schottky groups and the construction of surfaces by gluing pairs of punctures is discussed in an appendix.

KeywordsDifferential and Algebraic Geometry Superspaces ArXiv ePrint: 1510.06749

Electronic supplementary materialThe online version of this article doi:10.1007-JHEP122016035 contains supplementary material, which is available to authorized users.

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Autor: Sam Playle


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