Nonlinear gauge realization of spacetime symmetries including translations

Details Nonlinear gauge realization of spacetime symmetries including translations Nonlinear gauge realization of spacetime symmetries including translations

Jun 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..759j&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 6, pp.759-768

Computer Science

12

Scientific paper

We present a general scheme for the nonlinear gauge realizations of spacetime groups on coset spaces of the groups considered. In order to show the relevance of the method for the rigorous treatment of the translations in gravitational gauge theories, we apply it in particular to the affine group. This is an illustration of the family of spacetime symmetries having the form of a semidirect productH ⊗ T, whereH is the stability subgroup andT are the translations. The translational component of the connection behaves like a true tensor underH when coset realizations are involved.

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