Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-26
JHEP0608:081,2006
Physics
High Energy Physics
High Energy Physics - Theory
13 pages
Scientific paper
10.1088/1126-6708/2006/08/081
We consider non(anti)commutative (NAC) deformations of d=1 N=2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.
Aldrovandi L. G.
Schaposnik Fidel A.
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