Abstract:
The supergravity field equations are expanded in terms of an associated Grassmann algebra. The solution describing a point supercharge possessing the non-trivial Grassmann part of the metric is constructed on the flat background.
Citation:
M. S. Volkov, D. V. Gal'tsov, “Finite-dimensional Grassmann algebras and structure of the equations of simple supergravity”, TMF, 80:1 (1989), 65–80; Theoret. and Math. Phys., 80:1 (1989), 716–727