Harmonic N=2 mechanics

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Original languageEnglish
Article number065012
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number6
Publication statusPublished - 10 Sept 2009

Abstract

N=2 superconformal many-body quantum mechanics in arbitrary dimensions is governed by a single scalar prepotential which determines the bosonic potential and the boson-fermion couplings. We present a special class of such models, for which the bosonic potential is absent. They are classified by homogeneous harmonic functions subject to physical symmetry requirements, such as translation, rotation and permutation invariance. The central charge is naturally quantized. We provide some examples for systems of identical particles in any dimension.

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Harmonic N=2 mechanics. / Galajinsky, Anton; Lechtenfeld, Olaf.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 6, 065012, 10.09.2009.

Research output: Contribution to journalArticleResearchpeer review

Galajinsky A, Lechtenfeld O. Harmonic N=2 mechanics. Physical Review D - Particles, Fields, Gravitation and Cosmology. 2009 Sept 10;80(6):065012. doi: 10.1103/PhysRevD.80.065012
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