Details
| Original language | English |
|---|---|
| Article number | 085021 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 81 |
| Issue number | 8 |
| Publication status | Published - 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 subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 8, 085021, 16.04.2010.
Research output: Contribution to journal › Article › Research › 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 -