Deformations of Maxwell Superalgebras and Their Applications

Abstract

We describe the Lie algebra deformations of D=4 Maxwell superalgebra that was recently introduced as the symmetry algebra of a kappa-symmetric massless superparticle in a supersymmetric constant electromagnetic background. Further we introduce the D=3 Maxwell superalgebra and present all its possible deformations. Finally the deformed superalgebras are used to derive via a contraction procedure the complete set of Casimir operators for D=4 and D=3 Maxwell superalgebras.

30 pages, 1 figure, Comments and a reference added

References in corpus (18)

• General Very Special Relativity is Finsler Geometry
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Tensor extension of the Poincaré algebra
• Deformations of Maxwell algebra and their Dynamical Realizations
• Super p-Brane Theories and New Spacetime Superalgebras
• Semi-simple extension of the (super)Poincaré algebra
• Infinite Sequence of Poincare Group Extensions: Structure and Dynamics
• The many faces of OSp(1|32)
• A note on the Chevalley-Eilenberg Cohomology for the Galilei and Poincare Algebras
• Deforming the Maxwell-Sim Algebra
• One Formulation for both Lineal Gravities through a Dimensional Reduction
• Tools for supersymmetry
• Semi-simple $o(N)$-extended super-Poincaré algebra
• Deformed Maxwell Algebras and their Realizations
• Chern-Simons gravity, based on a non-semisimple group
• Vector Supersymmetry: Casimir operators and contraction from OSp(3,2|2)
• On the Cayley-Hamilton Theorem for Supermatrices

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• Supersymmetrization Schemes of D=4 Maxwell Algebra
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• The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
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