Details
| Original language | English |
|---|---|
| Article number | 147 |
| Journal | Journal of high energy physics |
| Volume | 2012 |
| Issue number | 6 |
| Publication status | Published - 2012 |
Abstract
We elaborate on a novel model of N=4 supersymmetric mechanics with extra spin variables. A dynamical linear (1,4,3) multiplet is coupled to a "semi-dynamical" linear (3,4,1) multiplet representing spin degrees of freedom in a Wess-Zumino action. The unique coupling of these two multiplets relates the dynamical bosonic variable to an arbitrary harmonic function of the SU(2) triplet of spin variables. As we prove at the classical and quantum level, N=4 supersymmetry is equivalent to the Nahm equations for the spin variables, with the dynamical boson as evolution parameter. We treat in detail the one- and two-monopole as well as some special multi-monopole configurations. While one monopole exhibits superconformal OSp(4|2) symmetry and was worked out previously, only N=4, d=1 Poincaré supersymmetry survives for multi-monopole configurations.
Keywords
- Extended supersymmetry, Field theories in lower dimensions, Solitons monopoles and instantons, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2012, No. 6, 147, 2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nahm equations in supersymmetric mechanics
AU - Fedoruk, Sergey
AU - Ivanov, Evgeny
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - We elaborate on a novel model of N=4 supersymmetric mechanics with extra spin variables. A dynamical linear (1,4,3) multiplet is coupled to a "semi-dynamical" linear (3,4,1) multiplet representing spin degrees of freedom in a Wess-Zumino action. The unique coupling of these two multiplets relates the dynamical bosonic variable to an arbitrary harmonic function of the SU(2) triplet of spin variables. As we prove at the classical and quantum level, N=4 supersymmetry is equivalent to the Nahm equations for the spin variables, with the dynamical boson as evolution parameter. We treat in detail the one- and two-monopole as well as some special multi-monopole configurations. While one monopole exhibits superconformal OSp(4|2) symmetry and was worked out previously, only N=4, d=1 Poincaré supersymmetry survives for multi-monopole configurations.
AB - We elaborate on a novel model of N=4 supersymmetric mechanics with extra spin variables. A dynamical linear (1,4,3) multiplet is coupled to a "semi-dynamical" linear (3,4,1) multiplet representing spin degrees of freedom in a Wess-Zumino action. The unique coupling of these two multiplets relates the dynamical bosonic variable to an arbitrary harmonic function of the SU(2) triplet of spin variables. As we prove at the classical and quantum level, N=4 supersymmetry is equivalent to the Nahm equations for the spin variables, with the dynamical boson as evolution parameter. We treat in detail the one- and two-monopole as well as some special multi-monopole configurations. While one monopole exhibits superconformal OSp(4|2) symmetry and was worked out previously, only N=4, d=1 Poincaré supersymmetry survives for multi-monopole configurations.
KW - Extended supersymmetry
KW - Field theories in lower dimensions
KW - Solitons monopoles and instantons
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=84864246440&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2012)147
DO - 10.1007/JHEP06(2012)147
M3 - Article
AN - SCOPUS:84864246440
VL - 2012
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 6
M1 - 147
ER -