2026/02/10 by Laura Andrianopoli, L. Andrianopoli, Riccardo D’Auria +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal gravity #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Curvature #Gauge theory #Primary field #Quadratic equation #Quantum and Classical Electrodynamics
paper · pdf · open access · doi:10.1088/1361-6382/ae60dd
published in Classical and Quantum Gravity 43(9), 095003 (IOP Publishing)
openalex publication_date 2026/04/16 · openalex created_date 2026/04/17 · openalex updated_date 2026/08/04
Abstract We propose a first-order geometric Lagrangian for four-dimensional conformal gravity (CG) within the Cartan formulation, which yields, dynamically, the standard constraints on the fields, expected for CG. Upon imposing the dynamical constraints, together with the request of conformal invariance of the off-shell Lagrangian, the theory reduces to the standard expression for CG, in terms of quadratic curvature invariants. Our results clarify the geometric status of CG as a gauge theory and open the way to a similar dynamical implementation of the constraints in higher dimensions and supersymmetric extensions.