Abstract
Super Beltrami equations which describe deformations of super Riemann surfaces are given. Two kinds of super Beltrami differentials of weight (− 1 2 , 0) and (−1, 1 2 ) respectively are introduced, which exactly agrees with 2D supergravity theory. Solutions are given for the linearized Beltrami equations. Mappings between the super Beltrami differentials and super 3 2 -differentials are given properly.
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