BRST-antifield-treatment of metric-affine gravity
Frank Gronwald
TL;DR
This paper applies the covariant BRST-antifield formalism to metric-affine gravity, deriving gauge-fixed quantum actions and illustrating the approach with a 2D model that includes the bosonic string as a special case.
Contribution
It introduces a novel application of the BRST-antifield formalism to metric-affine gravity, enabling systematic gauge fixing and quantization of these theories.
Findings
Derived gauge-fixed quantum actions for metric-affine gravity
Explicitly worked out gauge fixing for a 2D model
Showed the connection to the bosonic string in conformal gauge
Abstract
The metric-affine gauge theory of gravity provides a broad framework in which gauge theories of gravity can be formulated. In this article we fit metric-affine gravity into the covariant BRST--antifield formalism in order to obtain gauge fixed quantum actions. As an example the gauge fixing of a general two-dimensional model of metric-affine gravity is worked out explicitly. The result is shown to contain the gauge fixed action of the bosonic string in conformal gauge as a special case.
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