$N=4$ superextension of the Liouville equation with quaternion structure
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 230-243
Voir la notice de l'article provenant de la source Math-Net.Ru
An $N=4$ supersymmetric extension of the Liouville equation is constructed. It has
internal $SU(2)\times SU(2)$ gauge symmetry and can be adequately formulated in terms
of a real quaternion $N=4$ superfield on which definite conditions of Grassmann
analytieity are imposed. Both the dynamical equations as well as the analyticity
conditions follow from the zero-curvature representation on the superalgebra
$su(1,1|2)$. It is shown that the obtained system is invariant with respect to transformations
of the infinite-dimensional superalgebra of the $SU(2)$ superstring, the
realization of these transformations differing from those previously known. The
possible connection between the $N=4$ Liouville equation and the theory of the $SU(2)$
superstring is discussed.
@article{TMF_1985_63_2_a6,
author = {E. A. Ivanov and S. O. Krivonos},
title = {$N=4$ superextension of the {Liouville} equation with quaternion structure},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {230--243},
publisher = {mathdoc},
volume = {63},
number = {2},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a6/}
}
TY - JOUR AU - E. A. Ivanov AU - S. O. Krivonos TI - $N=4$ superextension of the Liouville equation with quaternion structure JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 230 EP - 243 VL - 63 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a6/ LA - ru ID - TMF_1985_63_2_a6 ER -
E. A. Ivanov; S. O. Krivonos. $N=4$ superextension of the Liouville equation with quaternion structure. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 230-243. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a6/