Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance

Understand

Recently, it has been pointed out that dimensionless actions in four dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance.

• This symmetry was dubbed {\it restricted Weyl invariance}.
• We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein-Hilbert action with cosmological constant and a Higgs mass.
• The model also contains an extra massless scalar field which couples to the Higgs field (and gravity).