Loop quantization of the Gowdy model with local rotational symmetry

Understand

We provide a full quantization of the vacuum Gowdy model with local rotational symmetry.

• We consider a redefinition of the constraints where the Hamiltonian Poisson-commutes with itself.
• We then apply the canonical quantization program of loop quantum gravity within an improved dynamics scheme.
• We identify the exact solutions of the constraints and the physical observables, and we construct the physical Hilbert space.