Maxwell-affine gauge theory of gravity

Abstract

Maxwell extension of affine algebra with additional tensorial generators is given. Using the methods of nonlinear realizations, we found the transformation rules for group parameters and corresponding generators. Gauging the Maxwell-affine algebra we presented two possible invariant actions for gravity: one is the first order and the other one is the second order in affine curvature. We noticed that equations of motion for the action, second order in affine curvature, lead to the generalized Bianchi identities on the choice of appropriate coefficients for a particular solution of the constraint equation.

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• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
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• 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
• (1+1)-dimensional gauge symmetric gravity model and related exact black hole and cosmological solutions in string theory