2007/05/31 by Evgeny Ivanov, Olaf Lechtenfeld, A. Sutulin +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Hierarchy #Nonlinear Waves and Solitons #Numerical methods for differential equations #Political science #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.08.014
published as Nucl.Phys.B790:493-523,2008 · 33 pages, Latex, minor corrections, version to appear in Nucl. Phys. B
openalex publication_date 2007/09/06 · arxiv created 2007/09/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.