Disc partition function of 2d R2 gravity from DWG matrix model

@article{Kazakov2022DiscPF,
  title={Disc partition function of 2d R2 gravity from DWG matrix model},
  author={Vladimir A. Kazakov and Fedor Levkovich-Maslyuk},
  journal={Journal of High Energy Physics},
  year={2022},
  volume={2022},
  pages={1-41}
}
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… 

References

SHOWING 1-10 OF 47 REFERENCES
JT gravity as a matrix integral
We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The boundaries are of the
Almost flat planar diagrams
We continue our study of matrix models of dually weighted graphs. Among the attractive features of these models is the possibility to interpolate between ensembles of regular and random
Complex Matrix Models and Statistics of Branched Coverings of 2D Surfaces
Abstract:We present a complex matrix gauge model defined on an arbitrary two-dimensional orientable lattice. We rewrite the model's partition function in terms of a sum over representations of the
JT gravity and the ensembles of random matrix theory
We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions
Character expansion methods for matrix models of dually weighted graphs
We consider generalized one-matrix models in which external fields allow control over the coordination numbers on both the original and dual lattices. We rederive in a simple fashion a character
NEW CRITICAL BEHAVIOR IN d = 0 LARGE-N MATRIX MODELS
The non-perturbative formulation of 2-dimensional quantum gravity in terms of the large-N limit of matrix models is studied to include the effects of higher order curvature terms. This leads to
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of
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