Topological symmetry-restored phase of gravity

Guilherme Sadovski; Rodrigo F. Sobreiro

doi:10.1140/epjc/s10052-025-14274-y

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arXiv · 2405.02884

Topological symmetry-restored phase of gravity

Guilherme Sadovski·Rodrigo F. Sobreiro

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Abstract

In this work, we propose a topological quantum field theory phase for four-dimensional gravity. We show it is able to generate, not only General Relativity, but the whole family of Lovelock-Cartan theories of gravity. This is accomplished due to the existence of a topological symmetry which, when explicitly broken via the introduction of a mass scale, releases the local degrees of freedom of gravity. Additionally, we introduce an extended notion of the (anti-)self-dual Landau gauge conditions to evaluate the Ward identities, counterterms, and prove the quantum stability of the model, to all orders in perturbation theory, using the algebraic renormalization technique.

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BibTeX RIS

Guilherme Sadovski, Rodrigo F. Sobreiro. 2024-05-05. Topological symmetry-restored phase of gravity. https://doi.org/10.1140/epjc%2Fs10052-025-14274-y

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