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Together with holonomy corrections, inverse volume terms should be taken intoaccount when studying the primordial universe in loop quantum cosmology. Weinvestigate how the tensor power spectrum is modified with respect to thestandard general relativistic prediction by those semiclassical corrections.Depending on the values of the free parameters of the model, it is shown thatthe spectrum can exhibit a very large deviation from its usual shape, inparticular with a very red slope and a strong running in the infrared limit.

Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation