Projective and amplified symmetries in metricaffine theories
Abstract
In this paper we extend the projective symmetry of the full metricaffine EinsteinHilbert theory to a new symmetry transformation in the space of affine connections called the amplified symmetry. We prove that the Lagrangian of the standard model of particle physics is invariant under this new symmetry. We also show that the gravitational Lagrangian can be modified so that the amplified symmetry extends to the gravitational sector and hence to the whole action. The new theory so constructed is shown to be dynamically equivalent to EinsteinCartan's though genuinely metricaffine.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 July 2021
 DOI:
 10.1088/13616382/abed61
 arXiv:
 arXiv:2006.04040
 Bibcode:
 2021CQGra..38m5001G
 Keywords:

 amplified symmetry;
 metric–affine theory;
 projective symmetry;
 General Relativity and Quantum Cosmology
 EPrint:
 22 pages, no figures. To appear in Classical and Quantum Gravity