$D=4$ topological gravity from gauging the Maxwell-special-affine group

Abstract

In this paper, the Maxwell extension of the special-affine algebra is obtained and corresponding non-linear realization is constructed. We give also the differential realization of the generators of the extended symmetry. Moreover, we present the gauge theory of the Maxwell special-affine algebra and the topological gravity action in four dimensions. As a conclusion, we show that the Bianchi identities can be found by using the solution of the equations of motion.

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• Three-dimensional exotic Newtonian gravity with cosmological constant
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• 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
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• On Stabilization of Maxwell-BMS Algebra
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• 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
• Cosmological application of the Maxwell gravity
• Maxwell-Modified Metric Affine Gravity
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity