A Matrix Model of Four-Dimensional Noncommutative Gravity

Manolakos, George; Manousselis, Pantelis; Roumelioti, Danai; Stefas, Stelios; Zoupanos, George (2022) A Matrix Model of Four-Dimensional Noncommutative Gravity. Universe, 8 (4). ISSN 2218-1997

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	gauge theories; gauge theories of gravity; four-dimensional gravity; noncommutative spaces; fuzzy de Sitter; noncommutative gravity; spontaneous symmetry breaking
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Simetrije u kvantnoj gravitaciji-SYMM4QG Larisa Jonke; Marija Dimitrijevic Ciric IP-2019-04-4168 HRZZ
Depositing User:	Ema Buhin Šaler
Date Deposited:	15 May 2026 10:47
URI:	https://fulir.irb.hr:/id/eprint/11958
DOI:	10.3390/universe8040215

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