TY - JOUR

T1 - Stochastic variables in ten dimensions?

AU - Lechtenfeld, O.

N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1986/9/22

Y1 - 1986/9/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039073136&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(86)90531-6

DO - 10.1016/0550-3213(86)90531-6

M3 - Article

AN - SCOPUS:0039073136

VL - 274

SP - 633

EP - 652

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

SN - 0550-3213

IS - 3-4

ER -