TY - JOUR

T1 - Hierarchy of N = 8 mechanics models

AU - Ivanov, Evgeny

AU - Lechtenfeld, Olaf

AU - Sutulin, Anton

N1 - Funding Information: The work of E.I. and A.S. was supported in part by the RFBR grant 06-02-16684, the RFBR-DFG grant 06-02-04012-a, the grant DFG, project 436 RUS 113/669/0-3, the grant INTAS 05-7928 and a grant of Heisenberg–Landau program. They thank Institute of Theoretical Physics of the Leibniz University of Hannover for the kind hospitality during the course of this study. E.I. thanks Laboratoire de Physique, UMR5672 of CNRS and ENS Lyon, for the warm hospitality at the final stage of this work. Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 2008/2/21

Y1 - 2008/2/21

N2 - 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.

AB - 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.

KW - Mechanics

KW - Superfield

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=36048967536&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.08.014

DO - 10.1016/j.nuclphysb.2007.08.014

M3 - Article

AN - SCOPUS:36048967536

VL - 790

SP - 493

EP - 523

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -