Abstract

The geometry of heterotic supermanifolds is discussed with particular reference to patching conditions and gauge fixing. Superfield formalism is used and the associated torsion constraints are solved explicitly in an arbitrary gauge, that is without imposing gauge conditions. Finite gauge transformations are constructed. The structure group associated with Wess-Zumino type gauges is obtained and is reduced by further refinements of the gauge conditions up to the stage at which the standard description of the super-Riemann surface is recovered. It is shown that any invariant functional of the super 3-bein can depend only on a finite number of parameters, i.e. the moduli and supermoduli. Chiral superfields and the structure of action functionals are discussed and, finally the integration measure in supermoduli space is derived by an application of the Faddeev-Popov prescription.

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