$\sigma$~Model representation of supersymmetric gauge theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 14-25
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Gauge theory in ordinary superspace is formulated in the language of the bilocal nonlinear model. The basic entity is the principal chiral superfield $b(z,u)$ with values in the algebra of the group of internal symmetry. After the imposition of covariant conditions to eliminate the unimportant goldstonions there is obtained for $b(z,u)$, as in the case of the Minkowski and de Sitter spaces, a “'string” representation in the form of a $P$-exponential of a contour integral of the Yang–Mills superfield $b_A(z)\equiv D_A^ub(z,0)$ along the geodesic
in superspace between the points $z+u$ and $z$.
@article{TMF_1983_55_1_a1,
author = {V. P. Akulov and V. G. Zima},
title = {$\sigma${~Model} representation of supersymmetric gauge theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {14--25},
publisher = {mathdoc},
volume = {55},
number = {1},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/}
}
V. P. Akulov; V. G. Zima. $\sigma$~Model representation of supersymmetric gauge theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 14-25. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a1/