# Disc partition function of 2d $R^2$ gravity from DWG matrix model

@inproceedings{Kazakov2021DiscPF, title={Disc partition function of 2d \$R^2\$ gravity from DWG matrix model}, author={Vladimir A. Kazakov and Fedor Levkovich-Maslyuk}, year={2021} }

We compute the sum over flat surfaces of disc topology with arbitrary number of conical singularities. To that end, we explore and generalize a specific case of the matrix model of dually weighted graphs (DWG) proposed and solved by one of the authors, M. Staudacher and Th. Wynter. Namely, we compute the sum over quadrangulations of the disc with certain boundary conditions, with parameters controlling the number of squares (area), the length of the boundary and the coordination numbers of…

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