N=4 supersymmetric mechanics with nonlinear chiral supermultiplet

Abstract

We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral supermultiplet. The two bosonic degrees of freedom of this supermultiplet parameterize the sphere S(2) and go into the bosonic components of the standard chiral multiplet when the radius of the sphere goes to infinity. We construct the most general action and demonstrate that the nonlinearity of the supermultiplet results in the deformation of the connection, which couples the fermionic degrees of freedom with the background, and of the bosonic potential. Also a non-zero magnetic field could appear in the system.

arXiv comment5 pages

References in corpus (9)

• On the Classification of N-extended Supersymmetric Quantum Mechanical Systems
• N=4, d=1 supermultiplets from nonlinear realizations of D(2,1;α)
• Ultra-Multiplets: A New Representation of Rigid 2D, N = 8 Supersymmetry
• Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• N=8 supersymmetric mechanics on special Kähler manifolds
• Quantum Oscillator on $\DC P^n$ in a constant magnetic field
• Two-dimensional N=8 supersymmetric mechanics in superspace
• On the Structure of the $N=4$ Supersymmetric Quantum Mechanics in $D=2$ and $D=3$

Cited by in corpus (29)

• Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
• "Root" Action for N=4 Supersymmetric Mechanics Theories
• Cuboctahedric Higgs oscillator from the Calogero model
• Super Kähler oscillator from SU(2|1) superspace
• Second Hopf map and supersymmetric mechanics with Yang monopole
• The Common Origin of Linear and Nonlinear Chiral Multiplets in N=4 Mechanics
• Supersymmetric Mechanics in Superspace
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• A Journey Through Garden Algebras
• N=4 supersymmetric Eguchi-Hanson sigma model in d=1
• N=8 Nonlinear Supersymmetric Mechanics
• Geometry of N=4, d=1 nonlinear supermultiplet
• Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
• A surprise in mechanics with nonlinear chiral supermultiplet
• Nonlinear (4, 8, 4) Multiplet of N=8, d=1 Supersymmetry
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• A new N = 8 nonlinear supermultiplet
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
• Bi-HKT and bi-Kaehler supersymmetric sigma models
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• N=2 supersymmetric S^2 -> CP^3 -> S^4 fibration viewed as superparticle mechanics
• Quantum SU$(2|1)$ supersymmetric ${\mathbb{C}}^N$ Smorodinsky--Winternitz system
• Supersymmetry at BLTP: how it started and where we are
• N=8 supersymmetric mechanics on the sphere S^3
• N=4, d=3 nonlinear electrodynamics
• Superintegrable deformations of oscillator and Coulomb systems