Two-dimensional N=8 supersymmetric mechanics in superspace

Abstract

We construct a two-dimensional N=8 supersymmetric quantum mechanics which inherits the most interesting properties of N=2, $d=4$ supersymmetric Yang-Mills theory. After dimensional reduction to one dimension in terms of field-strength, we show that only complex scalar fields from the $N=2,d=4$ vector multiplet become physical bosons in $d=1$. The rest of the bosonic components are reduced to auxiliary fields, thus giving rise to the {\bf (2, 8, 6)} supermultiplet in $d=1$. We construct the most general superfields action for this supermultiplet and demonstrate that it possesses duality symmetry extended to the fermionic sector of theory. We also explicitly present the Dirac brackets for the canonical variables and construct the supercharges and Hamiltonian which form a N=8 super Poincarè algebra with central charges. Finally, we discuss the duality transformations which relate the {\bf (2, 8, 6)} supermultiplet with the {\bf (4, 8, 4)} one.

9 pages

References in corpus (18)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Spontaneous Breaking of N=2 Global Supersymmetry
• Spontaneous Breaking of N=2 to N=1 in Rigid and Local Supersymmetric Theories
• ABC of N=8, d=1 supermultiplets
• Nilpotent deformations of N=2 superspace
• Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Harmonic superpotentials and symmetries in gauge theories with eight supercharges
• A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet
• N=4 Supersymmetric Multidimensional Quantum Mechanics, Partial SUSY Breaking and Superconformal Quantum Mechanics
• N=8 superconformal mechanics
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• Modified N=2 supersymmetry and Fayet-Iliopoulos terms
• N=8 supersymmetric mechanics on special Kähler manifolds
• N=8 Supersymmetric Quaternionic Mechanics
• 2k-dimensional N=8 supersymmetric quantum mechanics
• Vector multiplets in N=2 supersymmetry and its associated moduli spaces

Cited by in corpus (16)

• Hierarchy of N=8 Mechanics Models
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• A Journey Through Garden Algebras
• Elements of (super-)Hamiltonian Formalism
• N=8 Nonlinear Supersymmetric Mechanics
• Hyper-Kaehler geometry and dualization
• A surprise in mechanics with nonlinear chiral supermultiplet
• A new N = 8 nonlinear supermultiplet
• N=4 Superconformal Mechanics and Black Holes
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Extended supersymmetry with central charges in higher dimensional Dirac action
• N=8 supersymmetric mechanics on the sphere S^3
• Geometry and integrability in $\mathcal{N}=8$ supersymmetric mechanics