Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-19
Nucl.Phys. B680 (2004) 131-146
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, v.2 typo corrected
Scientific paper
10.1016/j.nuclphysb.2003.12.034
We construct non-Abelian N=2 on-shell vector multiplets in five and in four dimensions. Closing of the supersymmetry algebra imposes dynamical constraints on the fields, and these constraints should be interpreted as equations of motion. If these field equations should not be derivable from an action, we find that supersymmetry allows a broader class of target-space geometries than the familiar rigid (very) special manifolds. These theories moreover have more general potentials due to the possibility of including Fayet-Iliopoulos terms in the non-Abelian case. We show that by introducing an action, we recover the standard results. Finally, we relate the five- and the four-dimensional theories through dimensional reduction and discuss the corresponding generalised r-map.
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