Summing up all genus free energy of ABJM matrix model

Summing up.

Summing Up

Genus one contribution to free energy in hermitian two-matrix model

We compute an the genus 1 correction to free energy of Hermitian two-matrix model in terms of theta-functions associated to spectral curve arising in large N limit. We discuss the relationship of this expression to isomonodromic tau-function, Bergmann tau-function on Hurwitz spaces, G-function of Frobenius manifolds and determinant of Laplacian in a singular metric over spectral curve. 1 Two-ma...

Summing up Dirichlet Instantons.

We investigate quantum corrections to the moduli space for hypermultiplets for the type IIA string near a conifold singularity. We find a unique quantum deformation based on symmetry arguments which is consistent with a recent conjecture. The correction can be interpreted as an infinite sum coming from multiple wrappings of the Euclidean Dirichlet branes around the vanishing cycle. [S0031-9007(...

Hermitian matrix model free energy: Feynman graph technique for all genera

Matrix models and their so-called multisupport (multicut) solutions became again important recently due to studies in N = 11 SUSY gauge theories by Cachazo, Intrilligator and Vafa [1], [2] followed by the proposal of Dijkgraaf and Vafa [3] to calculate the low energy superpotentials using the partition function of multicut solutions. These solutions, being known already for a long time [4, 5], ...