A Matrix Model of Four-Dimensional Noncommutative Gravity

Autor: George Manolakos, Pantelis Manousselis, Danai Roumelioti, Stelios Stefas, George Zoupanos
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Universe, Vol 8, Iss 4, p 215 (2022)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe8040215
Popis: In this review, we revisit our latest works regarding the description of the gravitational interaction on noncommutative spaces as matrix models. Specifically, inspired by the gauge-theoretic approach of (ordinary) gravity, we make use of the suggested methodology, modified appropriately for the noncommutative framework, of the well-established formulation of gauge theories on them. Making use of a covariant four-dimensional fuzzy space, we formulate the gauge theory with an extended gauge group due to noncommutativity. In turn, in order to decrease the amount of symmetry we employ a symmetry breaking and result with an action which describes a theory that is a minimal noncommutative extension of the original.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje