Harmonic N=2 mechanics

Anton Galajinsky, Olaf Lechtenfeld

Research output: Contribution to journalArticle

14 Citations (Scopus)

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.

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

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harmonics
harmonic functions
permutations
quantum mechanics
invariance
bosons
fermions
scalars
requirements
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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 journalArticle

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