Multi-critical tensor models and hard dimers on spherical random lattices

► Dimers on random lattices in arbitrary dimensions are studied via a tensor model. ► After taking the large N limit, the thermodynamic limit is obtained. ► Critical sets of activities in different universality classes are identified. ► A multi-critical point where dimers undergo a phase transition is described. ► By a mapping this solves a model of monomers on random branched polymers.