Analytical approaches to 2D CDT coupled to matter
  We review some recent results by Ambjorn et al. (1202.4435) and the authors (1202.4322,1203.5034) in which multicritical points of the CDT matrix model were found and in a particular example identified with a hard dimer model. This identification requires solving the combinatorial problem of counting configurations of dimers on CDTs. 
Max R. Atkin and Stefan Zohren
hep-th gr-qc