Induced Polyakov supergravity on Riemann surfaces of higher genus

Details Induced Polyakov supergravity on Riemann surfaces of higher genus Induced Polyakov supergravity on Riemann surfaces of higher genus

1993-10-25

arxiv.org/abs/hep-th/9310163v2

Class.Quant.Grav.11:767-784,1994

Physics

High Energy Physics

High Energy Physics - Theory

LPTB 93-10, Latex file 20 pages

Scientific paper

10.1088/0264-9381/11/4/004

An effective action is obtained for the $N=1$, $2D-$induced supergravity on a compact super Riemann surface (without boundary) $\hat\Sigma$ of genus $g>1$, as the general solution of the corresponding superconformal Ward identity. This is accomplished by defining a new super integration theory on $\hat\Sigma$ which includes a new formulation of the super Stokes theorem and residue calculus in the superfield formalism. Another crucial ingredient is the notion of polydromic fields. The resulting action is shown to be well-defined and free of singularities on $\sig$. As a by-product, we point out a morphism between the diffeomorphism symmetry and holomorphic properties.

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