Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-21
Nucl.Phys.B790:493-523,2008
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, Latex, minor corrections, version to appear in Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2007.08.014
Using the N=4 superspace approach in one dimension (time), we construct general N=8 supersymmetric mechanics actions for the multiplets (b,8,8-b) classified in hep-th/0406015, with the main focus on the previously unexplored cases of (8,8,0), (7,8,1) and (6,8,2), as well as on (5,8,3) for completeness. N=8 supersymmetry of the action amounts to a harmonicity condition for the Lagrangian with respect to its superfield arguments. We derive the generic off-shell component action for the ``root'' multiplet (8,8,0), prove that the actions for all other multiplets follow from it through automorphic dualities and argue that this hierarchical structure is universal. The bosonic target geometry in all cases is conformally flat, with a unique scalar potential (except for the root multiplet). We show that the N=4 superfield constraints respect the full R-symmetry and find the explicit realization of its quotient over the manifest R-symmetry on superfields and component fields. Several R-symmetric N=4 superfield Lagrangians with N=8 supersymmetry are either newly found or reproduced by a simple universal method.
Ivanov Evgeny
Lechtenfeld Olaf
Sutulin Anton
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