# Almost flat planar diagrams

@article{Kazakov1996AlmostFP, title={Almost flat planar diagrams}, author={Vladimir A. Kazakov and Matthias Staudacher and Thomas Wynter}, journal={Communications in Mathematical Physics}, year={1996}, volume={179}, pages={235-256} }

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 two-dimensional lattices, relevant for the study of the crossover from two-dimensional flat space to two-dimensional quantum gravity. We further develop the formalism of largeN character expansions. In particular, a general method for determining the largeN limit of a character is derived. This method, aside…

## 28 Citations

Curvature matrix models for dynamical triangulations and the Itzykson- Di Francesco formula

- Mathematics
- 1997

The Dilute Potts Model on Random Surfaces

- Physics, Computer Science
- 1999

A new solution of the asymmetric two-matrix model in the large-N limit which only involves a saddle point analysis is presented which can be interpreted as Ising in the presence of a magnetic field on random dynamical lattices with the topology of the sphere for closed open surfaces.

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

- MathematicsJournal of High Energy Physics
- 2022

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…

Octagons I: combinatorics and non-planar resummations

- Mathematics, PhysicsJournal of High Energy Physics
- 2019

Abstract
We explain how the ’t Hooft expansion of correlators of half-BPS operators can be resummed in a large-charge limit in
$$ \mathcal{N} $$
N
= 4 super Yang-Mills theory. The full…

On Products of Random Matrices

- MathematicsEntropy
- 2020

A family of models, which are named matrix models associated with children’s drawings—the so-called dessin d’enfant, are introduced, which play the role of free parameters or model coupling constants in graphs of a special kind drawn on a closed connected orientable surface.

Constructing Exact Correlators In N=4 SYM Using Integrability

- Mathematics
- 2019

This thesis is devoted to the study of correlation functions in N = 4 superconformal YangMills theory. We focus on a class of four point functions for which we achieve formal results at finite…

Complex matrix model duality

- Physics
- 2011

The same complex matrix model calculates both tachyon scattering for the c=1 noncritical string at the self-dual radius and certain correlation functions of operators which preserve half the…

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