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Loop quantum gravity is one of the leading candidate theory tonon-perturbatively quantize gravity. In this framework, holonomy corrections tothe equation of propagation of gravitons in a FLRW background have beenderived. We investigate the consequences of those corrections on the tensorpower spectrum in de-Sitter and slow-roll inflations, for n=-1/2. Depending onthe value of the Barbero-Immirzi parameter, several observational featurescould be expected.

Holonomy corrections to the cosmological primordial tensor power spectrum