Polyakov conjecture on the supertorus
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 supe...
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| description | 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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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.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Economic impact ; Green's functions ; Iterative solution ; Supergravity</subject><ispartof>arXiv.org, 1997-08</ispartof><rights>1997. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). 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| subjects | Economic impact Green's functions Iterative solution Supergravity |
| title | Polyakov conjecture on the supertorus |
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