  Matrix theory is a proposed non-perturbative definition of superstring theory
in which space is emergent. Recently, it was shown that space-time can emerge
with a scale-invariant spectrum of cosmological perturbations which is sourced
by thermal fluctuations of the BFSS model at finite temperature. Inspired by
these results, we begin a study of the IKKT model at finite temperature. We
find that in this model, which is closely related to the BFSS model at finite
temperature, thermal fluctuations can also source a scale-invariant spectrum of
scalar and tensor fluctuations.
