Work

Gravity model from (A)dS Yang-Mills theory

Year: 2025

Type: article

Abstract: We investigate the relationship between a one-parameter family of (anti--)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through In\"on\"u-Wigner contraction of the (A)dS algebra. By setting the group parameter $\ensuremath{\alpha}$ to zero, the gauge transformation of the potential becomes consistent with the transformation properties of the tetrad form and spin connection. We show that a sector of the Yang-Mills dynamics exists in which the equations decouple. Moreover, a subset of the gauge transformations can be related to diffeomorphisms, leading to the identification of the tetrad field. Finally, the resulting dynamics is consistent with a gravitational dynamics in the first-order formalism.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/t9fw-cdzl

Authors: Goffredo Chirco, Alfonso Lamberti, Lucio Vacchiano, Patrizia Vitale

Institutions: Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, University of Naples Federico II

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Università degli Studi di Napoli Federico II, Compagnia di San Paolo, Ministero dell'Università e della Ricerca, Instituto Nazionale di Fisica Nucleare

Award: G2205506408