Details
| Original language | English |
|---|---|
| Pages (from-to) | 633-652 |
| Number of pages | 20 |
| Journal | Nuclear Physics, Section B |
| Volume | 274 |
| Issue number | 3-4 |
| Publication status | Published - 22 Sept 1986 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics, Section B, Vol. 274, No. 3-4, 22.09.1986, p. 633-652.
Research output: Contribution to journal › Article › Research › peer review
}
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 -