Abstract
We review the component Lagrangian construction of the supersymmetric higher spin models in three-dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge-invariant formulation, where massive higher spin fields are realized through a system of massless ones. We develop a supersymmetric generalization of this formulation to the Lagrangian construction of the on-shell N = 1, 3D higher spin supermultiplets. In 3D Minkowski space, we show that the massive supermultiplets can be constructed from one extended massless supermultiplet by adding the mass terms to the Lagrangian and the corresponding corrections to the supertransformations of the fermionic fields. In 3D AdS space, we construct massive supermultiplets using a formulation of the massive fields in terms of the set of gauge-invariant objects (curvatures) in the process of their consistent supersymmetric deformation.
| Original language | English |
|---|---|
| Article number | 9 |
| Journal | Symmetry |
| Volume | 10 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2018 |
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Keywords
- Gauge invariance
- Higher spins
- Supersymmetry
- Three-dimensional space times
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- Mathematics(all)
- Physics and Astronomy (miscellaneous)
Cite this
Supersymmetric higher Spin models in three dimensional spaces. / Buchbinder, Ioseph L.; Snegirev, Timofey V.; Zinoviev, Yurii M.
In: Symmetry, Vol. 10, No. 1, 9, 01.01.2018.Research output: Contribution to journal › Review article
}
TY - JOUR
T1 - Supersymmetric higher Spin models in three dimensional spaces
AU - Buchbinder, Ioseph L.
AU - Snegirev, Timofey V.
AU - Zinoviev, Yurii M.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We review the component Lagrangian construction of the supersymmetric higher spin models in three-dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge-invariant formulation, where massive higher spin fields are realized through a system of massless ones. We develop a supersymmetric generalization of this formulation to the Lagrangian construction of the on-shell N = 1, 3D higher spin supermultiplets. In 3D Minkowski space, we show that the massive supermultiplets can be constructed from one extended massless supermultiplet by adding the mass terms to the Lagrangian and the corresponding corrections to the supertransformations of the fermionic fields. In 3D AdS space, we construct massive supermultiplets using a formulation of the massive fields in terms of the set of gauge-invariant objects (curvatures) in the process of their consistent supersymmetric deformation.
AB - We review the component Lagrangian construction of the supersymmetric higher spin models in three-dimensional (3D) Minkowski and anti de Sitter (AdS) spaces. The approach is based on the frame-like gauge-invariant formulation, where massive higher spin fields are realized through a system of massless ones. We develop a supersymmetric generalization of this formulation to the Lagrangian construction of the on-shell N = 1, 3D higher spin supermultiplets. In 3D Minkowski space, we show that the massive supermultiplets can be constructed from one extended massless supermultiplet by adding the mass terms to the Lagrangian and the corresponding corrections to the supertransformations of the fermionic fields. In 3D AdS space, we construct massive supermultiplets using a formulation of the massive fields in terms of the set of gauge-invariant objects (curvatures) in the process of their consistent supersymmetric deformation.
KW - Gauge invariance
KW - Higher spins
KW - Supersymmetry
KW - Three-dimensional space times
UR - http://www.scopus.com/inward/record.url?scp=85040865854&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85040865854&partnerID=8YFLogxK
U2 - 10.3390/sym10010009
DO - 10.3390/sym10010009
M3 - Review article
VL - 10
JO - Symmetry
JF - Symmetry
SN - 2073-8994
IS - 1
M1 - 9
ER -