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

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 spacetime. 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).

v2: two references added, 17 pages. To appear in NPB

References in corpus (4)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Expanding Lie (super)algebras through abelian semigroups
• Supersymmetry of the planar Dirac - Deser-Jackiw-Templeton system, and of its non-relativistic limit

Cited by in corpus (12)

• Lie Algebra Expansions and Actions for Non-Relativistic Gravity
• Generalizations of Maxwell (super)algebras by the expansion method
• Minimal D=4 supergravity from the superMaxwell algebra
• Extended $D=3$ Bargmann supergravity from a Lie algebra expansion
• New family of Maxwell like algebras
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• N-extended Chern-Simons Carrollian supergravities in 2+1 spacetime dimensions
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• Supersymmetrization Schemes of D=4 Maxwell Algebra
• Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and Lie Algebra Expansion
• Bosonic D=11 supergravity from a generalized Chern-Simons action
• Chern-Simons Supergravity on Supergroup Manifolds