PROOF OF POLYAKOV CONJECTURE ON SUPERCOMPLEX PLANE

Authors
KACHKACHI M KOUADIK S
Citation
M. Kachkachi et S. Kouadik, PROOF OF POLYAKOV CONJECTURE ON SUPERCOMPLEX PLANE, Journal of mathematical physics, 38(8), 1997, pp. 4336-4342
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
8
Year of publication
1997
Pages
4336 - 4342
Database
ISI
SICI code
0022-2488(1997)38:8<4336:POPCOS>2.0.ZU;2-N
Abstract
Using Neumann series, we solve iteratively the super Beltrami Equation s (SBE) to arbitrary order. Then applying this, we compute the energy momentum tensor and n-points function for generic n starting from WZP action on the supercomplex plane. We solve the superconformal ward ide ntity and we show that the iterative solution to arbitrary order is re sumed by WZP action. This proves the Polyakov conjecture on supercompl ex plane. (C) 1997 American Institute of Physics.