Data di Pubblicazione:
2006
Citazione:
Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity / Sergio L. Cacciatori, Marco M. Caldarelli, Alex Giacomini, Dietmar Klemm, Diego S. Mansi. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 56:12(2006), pp. 2523-2543. [10.1016/j.geomphys.2006.01.006]
Abstract:
We consider various models of three-dimensional gravity with torsion or nonmetricity (metric affine gravity), and show that they can be written as Chern-Simons theories with suitable gauge groups. Using the groups ISO(2,1), SL(2,C) and SL(2,R)xSL(2,R), and the fact that they admit two independent coupling constants, we obtain the Mielke-Baekler model for zero, positive and negative effective cosmological constant respectively. Choosing SO(3,2) as the gauge group, one gets a generalization of conformal gravity that has zero torsion and only the trace part of the nonmetricity. This characterizes a Weyl structure. Finally, we present a new topological model of metric affine gravity in three dimensions arising from an SL(4,R) Chern-Simons theory.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Chern-Simons theories ; Models of quantum gravity ; Differential geometry
Elenco autori:
S.L. Cacciatori, M.M. Caldarelli, A. Giacomini, S. Klemm, D.S. Mansi
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