Gauge Theory of Maxwell-Weyl Group

Abstract

Starting from Maxwell-Weyl algebra we found the transformation rules for generalized space-time coordinates and the differential realization of corresponding generators. By treating local gauge invariance of Maxwell-Weyl group, we presented the Einstein-Cartan-Weyl gravity with the additional terms containing the gauge fields associated with the antisymmetric generators.

References in corpus (5)

• General Very Special Relativity is Finsler Geometry
• Generalized cosmological term from Maxwell symmetries
• Deformations of Maxwell algebra and their Dynamical Realizations
• Deformations of Maxwell Superalgebras and Their Applications
• Minimal D=4 supergravity from the superMaxwell algebra

Cited by in corpus (8)

• 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
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• On the geometric approach to the boundary problem in supergravity
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity