Towards a numerical solution of the bosonic master-field equation of the IIB matrix model

Abstract

A direct algebraic solution has been obtained from the full bosonic master-field equation of the IIB matrix model for low dimensionality $D=3$ and small matrix size $N=3$. A different method is needed for larger values of $D$ and $N$. Here, we explore an indirect numerical approach and obtain an approximate numerical solution for the nontrivial case $(D,\,N)=(10,\,4)$ with a complex Pfaffian. We also present a suggestion for numerical calculations at larger values of $N$.