Abstract
The study of conformal group symmetries within the framework of nonlinear realizations is extended and reexpressed in terms of metric tensors and connections on spacetime. The standard Vierbein formalism of general relativity is then reinterpreted in terms of nonlinear realizations of the group GL(4, R). Throughout we emphasise the connection between massless Goldstone bosons and the preferred fields of nonlinear realizations.
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