Speaker
simon catterall
Description
It is well known that the action for General Relativity (GR) can be rewritten in terms of a tetrad field $e_\mu$ and a spin connection $\omega_\mu$ where the former
is loosely a square root of the metric and the latter is a gauge field
needed to ensure local Lorentz invariance. It is less well known that these
two can be combined into a single gauge field associated with local (anti)de Sitter
symmetry with the resultant gauge theory reducing to GR in a Higgs phase. In two
dimensional Euclidean space the model appears as a novel form of $SU(2)$ gauge theory which can be reformulated as a tensor network. We describe analytic and numerical results obtained for this theory and its extension to four dimensions.
Authors
simon catterall
Dr
Judah Unmuth-Yockey
(Syracuse University)
Mohammad Asaduzzaman
(Syracuse University)
