Hierarchy of N=8 mechanics models
Abstract
Using the N=4 superspace approach in one dimension (time), we construct general N=8 supersymmetric mechanics actions for the multiplets (b,8,8b) classified in hepth/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 offshell 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 Rsymmetry and find the explicit realization of its quotient over the manifest Rsymmetry on superfields and component fields. Several Rsymmetric N=4 superfield Lagrangians with N=8 supersymmetry are either newly found or reproduced by a simple universal method.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2008
 DOI:
 10.1016/j.nuclphysb.2007.08.014
 arXiv:
 arXiv:0705.3064
 Bibcode:
 2008NuPhB.790..493I
 Keywords:

 11.30.Pb;
 11.15.q;
 11.10.Kk;
 03.65.w;
 Supersymmetry;
 Gauge field theories;
 Field theories in dimensions other than four;
 Quantum mechanics;
 High Energy Physics  Theory
 EPrint:
 33 pages, Latex, minor corrections, version to appear in Nucl. Phys. B