Abstract
Superconformal structures on a given 2/2-dim supermanifold give rise to the notion of super Riemann surfaces (SRS's). We investigate super Beltrami coefficients which parametrize (almost) superconformal structures on the supermanifold. The integrability condition of the structure reduces to a simple relation among the coefficients. Taking this into account, we can write the super Beltrami equations in a transparent form. Then an analysis of these equations enables us to prove the possibility of the special gauge choice of the Wess-Zumino type for the super Beltrami differentials. This gauge choice simplifies the description of the deformations of SRS's considerably and its existence will afford a better understanding of the structure of the super Teichmüller space.
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Communicated by H. Araki
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Takama, M. Super Beltrami differentials. Commun.Math. Phys. 143, 149–173 (1991). https://doi.org/10.1007/BF02100289
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DOI: https://doi.org/10.1007/BF02100289