Harmonic N=2 mechanics

Anton Galajinsky; Olaf Lechtenfeld

doi:10.1103/PhysRevD.80.065012

Harmonic N=2 mechanics

Anton Galajinsky^*
, Olaf Lechtenfeld

^*Corresponding author for this work

Institute of Theoretical Physics

Tomsk Polytechnic University

Research output: Contribution to journal › Article › Research › peer review

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 language	English
Article number	065012
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	80
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.80.065012
Publication status	Published - 10 Sept 2009

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.80.065012

Cite this

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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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AB - 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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M3 - Article

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Harmonic N=2 mechanics

Abstract

ASJC Scopus subject areas

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