Locally Weyl invariant massless bosonic and fermionic spin-1/2 action in the $\bf (W_{n(4)},g)$ and $\bf (U_{4},g)$ space-times

Details Locally Weyl invariant massless bosonic and fermionic spin-1/2 action in the $\bf (W_{n(4)},g)$ and $\bf (U_{4},g)$ space-times Locally Weyl invariant massless bosonic and fermionic spin-1/2 action in the $\bf (W_{n(4)},g)$ and $\bf (U_{4},g)$ space-times

1999-11-16

arxiv.org/abs/gr-qc/9911059v2

Gen.Rel.Grav. 32 (2000) 2287-2294

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

We search for a real bosonic and fermionic action in four dimensions which both remain invariant under local Weyl transformations in the presence of non-metricity and contortion tensor. In the presence of the non-metricity tensor the investigation is extended to Weyl $(W_n, g)$ space-time while when the torsion is encountered we are restricted to the Riemann-Cartan $(U_4, g)$ space-time. Our results hold for a subgroup of the Weyl-Cartan $(Y_4, g)$ space-time and we also calculate extra contributions to the conformal gravity.

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