  Fermions coupled to Yang-Mills matrix models are studied from the point of
view of emergent gravity. We show that the simple matrix model action provides
an appropriate coupling for fermions to gravity, albeit with a non-standard
spin connection. Integrating out the fermions in a nontrivial geometrical
background induces indeed the Einstein-Hilbert action and a dilaton-like term,
at least for on-shell geometries. This explains and precisely reproduces the
UV/IR mixing for fermions in noncommutative gauge theory, extending recent
results for scalar fields. It also explains why some UV/IR mixing remains even
in supersymmetric models, except in the N=4 case.

High Energy Physics - Theory;General Relativity and Quantum Cosmology