Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology

Understand

We investigate vector perturbations with holonomy corrections in the framework of loop quantum cosmology.

• Conditions to achieve anomaly freedom for these perturbations are found at all orders.
• This requires the introduction of counter-terms in the hamiltonian constraint.
• We also show that anomaly freedom requires the diffeomorphism constraint to hold its classical form when scalar matter is added although the issue of a vector matter source, required for full consistency, remains to be investigated.