  We discuss the compatibility of quantum gravity with dynamical matter degrees
of freedom. Specifically, we present bounds we obtained in [1] on the allowed
number and type of matter fields within asymptotically safe quantum gravity. As
a novel result, we show bounds on the allowed number of spin-3/2
(Rarita-Schwinger) fields, e.g., the gravitino. These bounds, obtained within
truncated Renormalization Group flows, indicate the compatibility of asymptotic
safety with the matter fields of the standard model. Further, they suggest that
extensions of the matter content of the standard model are severely restricted
in asymptotic safety. This means that searches for new particles at colliders
could provide experimental tests for this particular approach to quantum
gravity.
