Details
| Original language | English |
|---|---|
| Pages (from-to) | 1725-1757 |
| Number of pages | 33 |
| Journal | Journal of high energy physics |
| Volume | 7 |
| Issue number | 9 |
| Publication status | Published - 1 Sept 2003 |
Abstract
We define N = 4, d = 1 harmonic superspace HR1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2) × SU(2) of N = 4, d = 1 Poincaré supersymmetry. We reformulate, in this new setting, the models of N = 4 supersymmetric quantum mechanics associated with the off-shell multiplets (3,4,1) and (4,4,0). The latter admit a natural description as constrained superfields living in an analytic subspace of HR1+2|4. We construct the relevant superfield actions consisting of a sigma-model as well as a superpotential parts and demonstrate that the superpotentials can be written off shell in a manifestly N = 4 supersymmetric form only in the analytic superspace. The constraints implied by N = 4 supersymmetry for the component bosonic target-space metrics, scalar potentials and background one-forms automatically follow from the harmonic superspace description. The analytic superspace is shown to be closed under the most general N = 4, d = 1 superconformai group D(2, 1; α). We give its action on the analytic superflelds comprising the (3, 4, 1) and (4, 4, 0) multiplets, reveal a surprising relation between the latter and present the corresponding superconformally invariant actions. The harmonic superspace approach suggests a natural generalization of these multiplets, with a [2(n+1),4n, 2(n-1)] off-shell content for n > 2.
Keywords
- Extended Supersymmetry, Field Theories in Lower Dimensions, Superspaces
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of high energy physics, Vol. 7, No. 9, 01.09.2003, p. 1725-1757.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - N = 4 supersymmetric mechanics in harmonic superspace
AU - Ivanov, Evgeny
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2003/9/1
Y1 - 2003/9/1
N2 - We define N = 4, d = 1 harmonic superspace HR1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2) × SU(2) of N = 4, d = 1 Poincaré supersymmetry. We reformulate, in this new setting, the models of N = 4 supersymmetric quantum mechanics associated with the off-shell multiplets (3,4,1) and (4,4,0). The latter admit a natural description as constrained superfields living in an analytic subspace of HR1+2|4. We construct the relevant superfield actions consisting of a sigma-model as well as a superpotential parts and demonstrate that the superpotentials can be written off shell in a manifestly N = 4 supersymmetric form only in the analytic superspace. The constraints implied by N = 4 supersymmetry for the component bosonic target-space metrics, scalar potentials and background one-forms automatically follow from the harmonic superspace description. The analytic superspace is shown to be closed under the most general N = 4, d = 1 superconformai group D(2, 1; α). We give its action on the analytic superflelds comprising the (3, 4, 1) and (4, 4, 0) multiplets, reveal a surprising relation between the latter and present the corresponding superconformally invariant actions. The harmonic superspace approach suggests a natural generalization of these multiplets, with a [2(n+1),4n, 2(n-1)] off-shell content for n > 2.
AB - We define N = 4, d = 1 harmonic superspace HR1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2) × SU(2) of N = 4, d = 1 Poincaré supersymmetry. We reformulate, in this new setting, the models of N = 4 supersymmetric quantum mechanics associated with the off-shell multiplets (3,4,1) and (4,4,0). The latter admit a natural description as constrained superfields living in an analytic subspace of HR1+2|4. We construct the relevant superfield actions consisting of a sigma-model as well as a superpotential parts and demonstrate that the superpotentials can be written off shell in a manifestly N = 4 supersymmetric form only in the analytic superspace. The constraints implied by N = 4 supersymmetry for the component bosonic target-space metrics, scalar potentials and background one-forms automatically follow from the harmonic superspace description. The analytic superspace is shown to be closed under the most general N = 4, d = 1 superconformai group D(2, 1; α). We give its action on the analytic superflelds comprising the (3, 4, 1) and (4, 4, 0) multiplets, reveal a surprising relation between the latter and present the corresponding superconformally invariant actions. The harmonic superspace approach suggests a natural generalization of these multiplets, with a [2(n+1),4n, 2(n-1)] off-shell content for n > 2.
KW - Extended Supersymmetry
KW - Field Theories in Lower Dimensions
KW - Superspaces
UR - http://www.scopus.com/inward/record.url?scp=23144439130&partnerID=8YFLogxK
U2 - 10.1088/1126-6708/2003/09/073
DO - 10.1088/1126-6708/2003/09/073
M3 - Article
AN - SCOPUS:23144439130
VL - 7
SP - 1725
EP - 1757
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 9
ER -