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World-Line Actions in Weyl Geometry
Cezar Condeescu, Andrei Micu
The paper derives a dimensionless, Weyl‑invariant world‑line action for a particle in Weyl geometry, showing that proper time cannot be defined in the symmetric phase but reappears…
Conformal geometry as a gauge theory of gravity: covariant equations of motion & conservation laws
C. Condeescu, D. M. Ghilencea, A. Micu
We study Weyl conformal geometry as a general gauge theory of the Weyl group (of Poincaré and dilatations symmetries) in a manifestly Weyl gauge covariant formalism in which this…
The Gauge Theory of Weyl Group and its Interpretation as Weyl Quadratic Gravity
Cezar Condeescu, Andrei Micu
In this paper we give an extensive description of Weyl quadratic gravity as the gauge theory of the Weyl group. The previously discovered (vectorial) torsion/non-metricity equivale…
Weyl quadratic gravity as a gauge theory and non-metricity vs torsion duality
C. Condeescu, D. M. Ghilencea, A. Micu
We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical g…