Some considerations on the Mac Dowell-Mansouri action
Andres Anabalon
TL;DR
This paper explores the connection between the Mac Dowell-Mansouri gauge theory of gravity and the gauged Wess-Zumino-Witten approach, establishing a precise relation and discussing their theoretical motivations.
Contribution
It demonstrates a precise relation between two formulations of gauge theories of gravity and shows how a consistent truncation links them.
Findings
A formal relation between the Mac Dowell-Mansouri and gauged WZW approaches.
Identification of a consistent truncation connecting the two methods.
Review of Lovelock-Chern-Simons motivation for the gauged WZW approach.
Abstract
A precise relation is established between the Stelle-West formulation of the Mac Dowell-Mansouri approach to a gauge theory of gravity and the approach based on a gauged Wess-Zumino-Witten term. In particular, it is shown that a consistent truncation of the latter correspond to the former. A brief review of the Lovelock-Chern-Simons motivation behind the gauged WZW ones is also done.
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