Reduced N=2 Quantum Mechanics: Descendants of the Kahler Geometries

Abstract

We discuss an N=2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less that one half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called ``dynamical reduction." Our consideration opens a problem of a general classification of nonstandard representations of N=2$ superalgebra.

16 pages, 1 figure; many new references included, as well as comments on the relevant results obtained in the literature previously

References in corpus (3)

• Marginal Stability and the Metamorphosis of BPS States
• A note on N=4 supersymmetric mechanics on Kähler manifolds
• Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes

Cited by in corpus (5)

• Weak supersymmetry
• The Quantum Mechanics SUSY Algebra: An Introductory Review
• N=2 Sigma Model with Twisted Mass and Superpotential: Central Charges and Solitons
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• $\mathcal{N}=2$ Supersymmetry with Central Charge: A Twofold Implementation