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,8,8-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.

33 pages, Latex, minor corrections, version to appear in Nucl. Phys. B

References in corpus (39)

• Black Holes and Calogero Models
• HKT and OKT Geometries on Soliton Black Hole Moduli Spaces
• Adinkras: A Graphical Technology for Supersymmetric Representation Theory
• N=4 Supersymmetric Mechanics in Harmonic Superspace
• On the Classification of N-extended Supersymmetric Quantum Mechanical Systems
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• ABC of N=8, d=1 supermultiplets
• Gauging N=4 Supersymmetric Mechanics
• Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
• New variant of N=4 superconformal mechanics
• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• The Geometry of Supersymmetric Quantum Mechanics
• A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet
• Conformal and Superconformal Mechanics
• N=8 superconformal mechanics
• Calogero models and nonlocal conformal transformations
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• Gauging N=4 supersymmetric mechanics II: (1,4,3) models from the (4,4,0) ones
• Extended Supersymmetric Quantum Mechanics
• The Quantum Mechanics SUSY Algebra: An Introductory Review
• Many-Body Superconformal Systems from Hamiltonian Reductions
• N=8 supersymmetric mechanics on special Kähler manifolds
• Complete Supersymmetric Quantum Mechanics of Magnetic Monopoles in N=4 SYM Theory
• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• N=4, d=1 tensor multiplet and hyper-Kahler sigma-models
• Symplectic sigma models in superspace
• Two-dimensional N=8 supersymmetric mechanics in superspace
• N=8 Supersymmetric Quaternionic Mechanics
• N=4 supersymmetric Eguchi-Hanson sigma model in d=1
• Effective Lagrangians for (0+1) and (1+1) dimensionally reduced versions of D=4 N=2 SYM theory
• Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics
• N=8 Nonlinear Supersymmetric Mechanics
• 2k-dimensional N=8 supersymmetric quantum mechanics
• Hyper-Kaehler geometry and dualization
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• A new N = 8 nonlinear supermultiplet
• Low--dimensional sisters of Seiberg-Witten effective theory
• Hyper-Kahler geometries and nonlinear supermultiplets

Cited by in corpus (40)

• Superconformal mechanics
• N=4 superconformal Calogero models
• N = 4 mechanics of general (4, 4, 0) multiplets
• D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics
• Second Hopf map and supersymmetric mechanics with Yang monopole
• Biharmonic Superspace for N=4 Mechanics
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• SU(2|2) supersymmetric mechanics
• Supersymmetric Chern-Simons Vortex Systems and Extended Supersymmetric Quantum Mechanics Algebras
• General N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach to its Off-Shell Nilpotent Symmetries
• Effective Symmetries of the Minimal Supermultiplet of N = 8 Extended Worldline Supersymmetry
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
• On General Off-Shell Representations of Worldline (1D) Supersymmetry
• Deformed $\mathcal{N}=8$ mechanics of $(8,8,0)$ multiplets
• Superconformal quantum mechanics and the exterior algebra
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Generic HKT geometries in the harmonic superspace approach
• Superconformal Quantum Mechanics from M2-branes
• A Q-Continuum of Off-Shell Supermultiplets
• N=4 mechanics with diverse (4,4,0) multiplets: explicit examples of HKT, CKT, and OKT geometries
• Note on $\mathcal{N}=8$ supersymmetric mechanics with dynamical and semi-dynamical multiplets
• N=8 superconformal mechanics: direct construction
• Bi-HKT and bi-Kaehler supersymmetric sigma models
• Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
• Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes
• A Relation Between $Z_3$-Graded Symmetry and Shape Invariant Supersymmetric Systems
• An N=8 superconformal particle in the half-plane
• Color Superconductivity, Fermionic Quasinormal Modes in Reissner-Nordström-anti-de Sitter Spacetimes and Supersymmetry
• Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with non-trivial Topological Charges
• N=8 supersymmetric mechanics on the sphere S^3
• Geometry and Harmonic Superspace: some recent progress
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• Gauging isometries in N=4 supersymmetric mechanics
• Fermions in a Reissner-Nordström-anti-de Sitter Black Hole Background and $N=4$ Supersymmetry with non-trivial Topological Charges
• Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices
• Target duality in N=8 superconformal mechanics and the coupling of dual pairs
• Graded Geometric Structures Underlying F-Theory Related Defect Theories
• Low Dimensional Supersymmetries in SUSY Chern-Simons Systems and Geometrical Implications
• Extended Supersymmetries and 2+1 Dimensional Supersymmetric Chern Simons Theories