A bstract We consider general k = −1 FLRW covariant quantum spacetimes M^3, 1 K M 3, 1 × K with fuzzy extra dimensions K K as classical solutions of the IKKT matrix model. The coupled equations of motion are recast in terms of conservation laws, which allow to determine the evolution of spacetime in a transparent way. We show that K K is stabilized as a classical solution in the presence of a large R charge, corresponding to internal angular momentum. This provides a mechanism to maintain a large hierarchy between UV and IR scales. We also argue that the evolution of spacetime is determined by a balance between classical and quantum effects, leading to a cosmic scale factor a (t) ~ t and constant dilaton at late times. On such a background, the undeformed IKKT model leads to a higher-spin gauge theory including gravity.
Manta et al. (Wed,) studied this question.
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