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RESEARCH PRODUCT
-Poincaré supergravities from Lie algebra expansions
José M. IzquierdoJ. A. De Azcárragasubject
PhysicsNuclear and High Energy PhysicsSupergravityAction (physics)High Energy Physics::Theorysymbols.namesakeSimple (abstract algebra)Mathematics::Quantum AlgebraPoincaré conjectureLie algebrasymbolsGauge theoryMathematics::Representation TheoryMathematical physicsdescription
Abstract We use the expansion of superalgebras procedure (summarized in the text) to derive Chern–Simons (CS) actions for the ( p , q ) -Poincare supergravities in three-dimensional spacetimes. After deriving the action for the ( p , 0 ) -Poincare 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 ) -Poincare 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 ) .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-01 | Nuclear Physics B |