Gauge Theories: From Kaluza–Klein to noncommutative gravity theories

George Manolakos , Pantelis Manousselis , George Zoupanos (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.

Mots clés: gauge theories; coset space dimensional reduction; fuzzy extra dimensions; higher-dimensional particle physics models; three-dimensional gravity; four-dimensional gravity; noncommutative spaces; fuzzy de Sitter; gauge field theory; Kaluza-Klein; gravitation: noncommutative; coset space: fuzzy; dimensional reduction; higher-dimensional; universal extra dimension; space: de Sitter

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Relativité Générale et Cosmologie Quantique [gr-qc]

George Manolakos, Pantelis Manousselis, George Zoupanos. Gauge Theories: From Kaluza–Klein to noncommutative gravity theories. Symmetry, 2019, 11 (7), pp.856. ⟨10.3390/sym11070856⟩. ⟨hal-02223008⟩