Symmetries of N=4 supersymmetric CP(n) mechanics

Abstract

We explicitly constructed the generators of $SU(n+1)$ group which commute with the supercharges of N=4 supersymmetric ${\mathbb{CP}}^n$ mechanics in the background U(n) gauge fields. The corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on $SU(n+1)$ group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.

10 pages, PACS numbers: 11.30.Pb, 03.65.-w; minor changes in Introduction, references added

References in corpus (4)

• Effective Wess-Zumino-Witten Action for Edge States of Quantum Hall Systems on Bergman Ball
• Hyperboloid, instanton, oscillator
• Supersymmetric Kähler oscillator in a constant magnetic field
• CP(n) supersymmetric mechanics in U(n) background gauge fields

Cited by in corpus (4)

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• Generating all 36,864 Four-Color Adinkras via Signed Permutations and Organizing into $\ell$- and $\tilde{\ell }$-Equivalence Classes
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry