$D=4$ supergravity from the Maxwell-Weyl superalgebra

Abstract

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale invariance of the action is achieved through the introduction of a compensating scalar field. Finally, we find the generalized Einstein equation with a coordinate dependent cosmological term.

12 pages

References in corpus (37)

• Dark Energy and the Accelerating Universe
• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
• Entropic Accelerating Universe
• Expanding Lie (super)algebras through abelian semigroups
• Maxwell Superalgebra and Superparticle in Constant Gauge Backgrounds
• Generalized cosmological term from Maxwell symmetries
• Tensor extension of the Poincaré algebra
• Deformations of Maxwell algebra and their Dynamical Realizations
• Super p-Brane Theories and New Spacetime Superalgebras
• 2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models
• Gauged AdS-Maxwell algebra and gravity
• N=1 Supergravity and Maxwell superalgebras
• Extensions, expansions, Lie algebra cohomology and enlarged superspaces
• Infinite Sequence of Poincare Group Extensions: Structure and Dynamics
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Hidden Role of Maxwell Superalgebras in the Free Differential Algebras of D=4 and D=11 Supergravity
• Generalizations of Maxwell (super)algebras by the expansion method
• Deformations of Maxwell Superalgebras and Their Applications
• A note on the Chevalley-Eilenberg Cohomology for the Galilei and Poincare Algebras
• Minimal D=4 supergravity from the superMaxwell algebra
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Gauge semi-simple extension of the Poincaré group
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• Gauge field theory for Poincaré-Weyl group
• Maxwell symmetries and some applications
• Generalized supersymmetric cosmological term in N=1 Supergravity
• AdS--Maxwell superalgebra and supergravity
• $D=4$ topological gravity from gauging the Maxwell-special-affine group
• Supersymmetrization Schemes of D=4 Maxwell Algebra
• Maxwell-affine gauge theory of gravity
• New spinorial particle model in tensorial space-time and interacting higher spin fields
• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
• Gauge Theory of Maxwell-Weyl Group
• Maxwell group and HS field theory
• New particle model in extended space-time and covariantization of planar Landau dynamics
• Exact three dimensional black hole with gauge fields in string theory

Cited by in corpus (10)

• Three-dimensional Maxwellian extended Bargmann supergravity
• Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra
• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Maxwell extension of $f(R)$ gravity
• Gauging the Maxwell extended $\mathcal{G}\mathcal{L}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
• Cosmological application of the Maxwell gravity
• Maxwell-Modified Metric Affine Gravity
• On the geometric approach to the boundary problem in supergravity
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity