One-loop effective action of the IKKT model for cosmological backgrounds

Abstract

We study cosmological solutions of the IKKT model with $k=-1$ FLWR geometry, taking into account one-loop corrections. A previously discussed covariant quantum spacetime is found to be stabilized through one-loop effects at early times, without adding a mass term to the model. At late times, this background is modified and approaches a solution of the classical model where $a(t)\sim const$, but the dilaton decreases in time. This suggests that a more complete treatment of the system is required in the late-time regime.

v2: sign error in Eq. (79) corrected; conclusions modified

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