Alex Giacomini
Research Subjects
Research Interests
Alex Giacomini has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Diego S. Mansi
Dipartimento di Fisica dell' Università di Milano Via Celoria 16 I-20133
1 shared publication - Dietmar Klemm
Dipartimento di Fisica Università di Milano Via Celoria 16 20133 Milano Italy
1 shared publication - Marco M. Caldarelli
Dipartimento di Fisica dell'Università di Milano and INFN Sezione di Milano Via Celoria 16 I-20133 Milano
1 shared publication - Sergio Luigi Cacciatori
Università degli Studi dell’Insubria
1 shared publication
Latest Publications
- Open Access
Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
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) or SL(2,R) x SL(2,R), and the fact that they admit two independent coupling constants, we obtain the Mielke-Baekler model for zero, positive or negative effective cosmological constant respectively. Choosing SO(3,2) as 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.
Open AccessChern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
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) or SL(2,R) x SL(2,R), and the fact that they admit two independent coupling constants, we obtain the Mielke-Baekler model for zero, positive or negative effective cosmological constant respectively. Choosing SO(3,2) as 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.