(p,q) D=3 Poincare supergravities from Lie algebra expansions
Jul, 201117 pages
Published in:
- Nucl.Phys.B 854 (2012) 276-291
- Published: 2012
e-Print:
- 1107.2569 [hep-th]
Report number:
- FTUV-11-1307,
- IFIC-11-32
View in:
Citations per year
Abstract: (Elsevier)
We use the expansion of superalgebras procedure (summarized in the text) to derive Chern–Simons (CS) actions for the ( p , q ) -Poincaré supergravities in three-dimensional spacetimes. After deriving the action for the ( p , 0 ) -Poincaré supergravity as a CS theory for the expansion osp ( p | 2 ; R ) ( 2 , 1 ) of osp ( p | 2 ; R ) , we find the general ( p , q ) -Poincaré superalgebras and their associated D = 3 supergravity actions as CS gauge theories from an expansion of the simple osp ( p + q | 2 , R ) superalgebras, namely osp ( p + q | 2 , R ) ( 2 , 1 , 2 ) .Note:
- v2: two references added, 17 pages. To appear in NPB
- supersymmetry: algebra
- supergravity: action
- dimension: 3
- supergravity: Poincare
- Chern-Simons term
- algebra: Lie
- invariance: gauge
- curvature
- gauge field theory
- duality
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