Stochastic variables in ten dimensions?

authored by

O. Lechtenfeld

Abstract

A generator of infinitesimal Nicolai transformations is employed to reformulate their existence and polynomiality conditions. Their perturbative analysis in a four-dimensional chiral model reveals its complete variety of Nicolai mappings; however this model does not contain polynomial ones. By a reduction and truncation argument the ten-dimensional super-Yang-Mills theory is found to share this property. Hence, the list of stochastic gauge theories cannot be extended further to N=1, d=10; N=2, d=6; or N=4, d=4 super-Yang-Mills.

External Organisation(s)

CERN

Type

Article

Journal

Nuclear Physics, Section B

Volume

274

Pages

633-652

No. of pages

20

ISSN

0550-3213

Publication date

22.09.1986

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Electronic version(s)

https://doi.org/10.1016/0550-3213(86)90531-6 (Access: Unknown)