Bulg. J. Phys. vol.33 no.s2 (2006), pp. 301-306
Galilean Superalgebra and Physical Model Invariant under Galilean Superalgebra
A. Galkin1, I. Bratchun2
1Institute of Mathematics of National Academy of Science of Ukraine, 3 Tereshchenkivska str., 01601 Kyiv-4 Ukraine
2Institute of Mathematics of National Academy of Science of Ukraine, 3 Tereshchenkivska str., 01601 Kyiv-4 Ukraine
go back1Institute of Mathematics of National Academy of Science of Ukraine, 3 Tereshchenkivska str., 01601 Kyiv-4 Ukraine
2Institute of Mathematics of National Academy of Science of Ukraine, 3 Tereshchenkivska str., 01601 Kyiv-4 Ukraine
Abstract. We consider the representations of Galilean superalgebra in 2+1 and 3+1 dimensions in terms of Grassmanian variables and build physical models invariant under the Galilean superalgebra.