Tensor extension of the Poincaré algebra

Abstract

A tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of this extension is also found in the dimensions $D=2,3,4$.

1+7 pages, LaTeX

Cited by in corpus (62)

• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Deformations of Maxwell algebra and their Dynamical Realizations
• Generating infinite-dimensional algebras from loop algebras by expanding Maurer Cartan forms
• A generalized action for $\left(2+1\right)$-dimensional Chern--Simons gravity
• Semi-simple extension of the (super)Poincaré algebra
• N=1 Supergravity and Maxwell superalgebras
• Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Pure Lovelock gravity and Chern-Simons theory
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Deformations of Maxwell Superalgebras and Their Applications
• A note on the Chevalley-Eilenberg Cohomology for the Galilei and Poincare Algebras
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Gauge semi-simple extension of the Poincaré group
• Minimal AdS-Lorentz supergravity in three-dimensions
• New family of Maxwell like algebras
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Lovelock gravities from Born-Infeld gravity theory
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Galilean free Lie algebras
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Supersymmetrization Schemes of D=4 Maxwell Algebra
• New spinorial particle model in tensorial space-time and interacting higher spin fields
• Maxwell-affine gauge theory of gravity
• Generalized Galilean Algebras and Newtonian Gravity
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• Gauge Theory of Maxwell-Weyl Group
• Infinite S-Expansion with Ideal Subtraction and Some Applications
• Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra
• Resonant algebras and gravity
• The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• A Solvable Model of Flat Space Holography
• Maxwell extension of $f(R)$ gravity
• Maxwell group and HS field theory
• Extensions of the Poincare group
• New particle model in extended space-time and covariantization of planar Landau dynamics
• Symmetries of M-theory and free Lie superalgebras
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• Extended Kinematical 3D Gravity Theories
• Semi-simple $o(N)$-extended super-Poincaré algebra
• Four-dimensional Brane-Chern-Simons Gravity and Cosmology
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Resonant algebras in Chern-Simons model of topological insulators
• On Stabilization of Maxwell-BMS Algebra
• Gauging the Maxwell extended $\mathcal{G}\mathcal{L}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Generalized Einstein gravities and generalized AdS symmetries
• Modified newtonian dynamics and non-relativistic ChSAS gravity
• Contractions of the Maxwell algebra
• Cosmological application of the Maxwell gravity
• Maxwell-Modified Metric Affine Gravity
• Scalar-tensor theory with EGB term from Einstein Chern-Simons gravity
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity