Projective and amplified symmetries in metric–affine theories

In this paper we extend the projective symmetry of the full metric–affine Einstein–Hilbert 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 sym...

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Bibliographic Details
Published in:Classical and quantum gravity 2021-07, Vol.38 (13), p.135001
Main Authors: García-Parrado, Alfonso, Minguzzi, Ettore
Format: Article
Language:English
Subjects:
amplified symmetry
metric–affine theory
projective symmetry
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Summary:In this paper we extend the projective symmetry of the full metric–affine Einstein–Hilbert 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 Einstein–Cartan’s though genuinely metric–affine.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/abed61