(p,q) D=3 Poincare supergravities from Lie algebra expansions

Jul, 2011
17 pages
Published in:
  • Nucl.Phys.B 854 (2012) 276-291
  • Published: 2012
e-Print:
Report number:
  • FTUV-11-1307,
  • IFIC-11-32

Citations per year

201120132015201720191204
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