Superposition formulas for nonlinear superequations
- 1 October 1990
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (10) , 2528-2534
- https://doi.org/10.1063/1.528997
Abstract
Nonlinear superequations, for which the general solution can be expressed algebraically in terms of a finite number of particular solutions, are obtained. They are based on the orthosymplectic supergroup OSP(m,2n) and its action on a homogeneous superspace. Superposition formulas are discussed for the cases m=1, n arbitrary, and m=2, n=1. For OSP(2,2) the number of particular solutions needed to reconstruct the general solution depends on the dimension of the underlying Grassmann algebra, whereas for OSP(1,2n) it does not.Keywords
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