REVIEW 1 cited by
Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original 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) 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.
Forward citations
Cited by 1 Pith paper
-
Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity
Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.
Discussion (0). Sign in to comment.