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arXiv · hep-th/9708057

Polyakov conjecture on the supertorus

M. Kachkachi·M. Nazah
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Abstract

We prove the Polyakov conjecture on the supertorus $(ST_2)$: we dermine an iterative solution at any order of the superconformal Ward identity and we show that this solution is resumed by the Wess-Zumino-Polyakov (WZP) action that describes the $(1,0)$ 2D-supergravity. The resolution of the superBeltrami equation for the Wess-Zumino (WZ) field is done by using on the one hand the Cauchy kernel defined on $ST_2$ and on the other hand, the formalism developed to get the general solution on the supercomplex plane. Hence, we determine the n-points Green functions from the (WZP) action expressed in terms of the (WZ) field.

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M. Kachkachi, M. Nazah. 1997-08-12. Polyakov conjecture on the supertorus. https://arxiv.org/abs/hep-th/9708057

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