CP(n) supersymmetric mechanics in U(n) background gauge fields

Abstract

We construct a new N=4 supersymmetric mechanics describing the motion of a particle over a $C{P}^n$ manifold in U(n) background gauge fields.

8 pages, LaTeX file, PACS number: 11.30.Pb; footnote added on page 1, comments concerning brackets in (2.11) added, formula (3.4) is rewritten, and two new formulas (3.8) and (3.9) have been added

References in corpus (6)

• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics
• N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background
• The Matrix Chern-Simons One-form as a Universal Chern-Simons Theory
• Generalized Instantons on Complex Projective Spaces
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics

Cited by in corpus (4)

• N=4 chiral supermultiplet interacting with a magnetic field
• Symmetries of N=4 supersymmetric CP(n) mechanics
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry