Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 085021 |
| Fachzeitschrift | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Jahrgang | 81 |
| Ausgabenummer | 8 |
| Publikationsstatus | Veröffentlicht - 16 Apr. 2010 |
Abstract
In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a Belavin-Polyakov-Shvarts-Tyupkin instanton. The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere, or on R×S3. The isospin degrees of freedom arise as bosonic components of an additional fermionic N=4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition. Our on-shell component action coincides with the one recently proposed in [arXiv:0912.3289].
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
- Physik und Astronomie (insg.)
- Physik und Astronomie (sonstige)
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in: Physical Review D - Particles, Fields, Gravitation and Cosmology, Jahrgang 81, Nr. 8, 085021, 16.04.2010.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - N=4 supersymmetry and the belavin-polyakov-shvarts-tyupkin instanton
AU - Krivonos, S.
AU - Lechtenfeld, O.
AU - Sutulin, A.
N1 - Copyright: Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/4/16
Y1 - 2010/4/16
N2 - In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a Belavin-Polyakov-Shvarts-Tyupkin instanton. The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere, or on R×S3. The isospin degrees of freedom arise as bosonic components of an additional fermionic N=4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition. Our on-shell component action coincides with the one recently proposed in [arXiv:0912.3289].
AB - In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a Belavin-Polyakov-Shvarts-Tyupkin instanton. The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere, or on R×S3. The isospin degrees of freedom arise as bosonic components of an additional fermionic N=4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition. Our on-shell component action coincides with the one recently proposed in [arXiv:0912.3289].
UR - http://www.scopus.com/inward/record.url?scp=77952506267&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.81.085021
DO - 10.1103/PhysRevD.81.085021
M3 - Article
AN - SCOPUS:77952506267
VL - 81
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 8
M1 - 085021
ER -