ALL GENUS PARTITION FUNCTION OF THE ABJM MATRIX MODEL

Asymptotics of the partition function of a random matrix model

We prove a number of results concerning the large N asymptotics of the free energy of a random matrix model with a polynomial potential V (z). Our approach is based on a deformation τtV (z) of V (z) to z , 0 ≤ t < ∞ and on the use of the underlying integrable structures of the matrix model. The main results include (1) the existence of a full asymptotic expansion in powers of N of the recurrenc...

A Note on the Partition Function of ABJM Theory on S 3 231

The partition function of the two-matrix model as an isomonodromic tau-function

We consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that the partition function is an isomonodromic tau function in a sense that generalizes Jimbo-Miwa-Ueno’s [20]. In order to achieve the generalization we need to define a notion of tau-function for isomonodromic systems where the ad–regularity of the leading coefficient is not a necessary requirement.

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...

U-duality from Matrix Membrane Partition Function

We analyse supermembrane instantons (fully wrapped supermembranes) by computing the partition function of the three-dimensional supersymmetrical U(N) matrix model under periodic boundary conditions. By mapping the model to a cohomological field theory and considering a mass-deformation of the model, we show that the partition function exactly leads to the U-duality invariant measure factor ente...