Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 150-154
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The paper gives the construction of a large class of
two-dimensional supersymmetric nonlinear systems that are
associated through a Lax type representation with the local part
of an arbitrary Lie superalgebra $\mathfrak G$ with Grassmann
structure. The grading of $\mathfrak G$ is realized by the Cartan
element of its subsuperalgebra $\mathrm{osp}(l, 2)$. Sufficient
conditions are established for exact integrability of the obtained
systems, the simplest special ease of which is the supersymmetric
generalization of the two-dimensional Toda chain.
@article{TMF_1984_61_1_a13,
author = {A. N. Leznov and M. V. Saveliev},
title = {Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {150--154},
publisher = {mathdoc},
volume = {61},
number = {1},
year = {1984},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/}
}
TY - JOUR
AU - A. N. Leznov
AU - M. V. Saveliev
TI - Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1984
SP - 150
EP - 154
VL - 61
IS - 1
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/
LA - ru
ID - TMF_1984_61_1_a13
ER -
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%A A. N. Leznov
%A M. V. Saveliev
%T Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 150-154
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/
%G ru
%F TMF_1984_61_1_a13
A. N. Leznov; M. V. Saveliev. Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 150-154. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a13/