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Open Quantum Systems Decoherence Quantum Simulation

Dynamical Implementation of the Constraints in Conformal Gravity

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Authors: Laura Maria Andrianopoli, Riccardo d'Auria, Giacomo Grosso, Lucrezia Ravera

Year

2026

Paper ID

51969

Status

Peer-reviewed

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~2 min

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Abstract

Abstract We propose a first-order geometric Lagrangian for four-dimensional conformal gravity within the Cartan formulation, which yields, dynamically, the standard constraints on the fields, expected for conformal gravity.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 conformal gravity, in terms of quadratic curvature invariants.Our results clarify the geometric status of conformal gravity as a gauge theory and open the way to a similar dynamical implementation of the constraints in higher dimensions and supersymmetric extensions.

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Abstract We propose a first-order geometric Lagrangian for four-dimensional conformal gravity within the Cartan formulation, which yields, dynamically, the standard constraints...

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References & Citation Signals

[1] DOI https://doi.org/10.1088/1361-6382/ae60dd [2] Publisher https://doi.org/10.1088/1361-6382/ae60dd

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External citation index: OpenAlex citation signal • updated 2026-06-14 05:27:29

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