On the equivalence of topological and quantum 2D gravity

A. Marshakov, A. Mironov, A. Morozov
1992 Physics Letters B  
We demonstrate the equivalence of Virasoro constraints imposed on continuum limit of partition function of Hermitean 1-matrix model and the Ward identities of Kontsevich's model. Since the first model describes ordinary d = 2 quantum gravity, while the second one is supposed to coincide with Witten's topological gravity, the result provides a strong implication that the two models are indeed the same.
doi:10.1016/0370-2693(92)91987-k fatcat:5dje5lhjqjbafm6ukr7ws3jtdi