Simulating Simplified Versions of the IKKT Matrix Model

TL;DR

This paper presents simulations of a supersymmetric matrix model derived from 4d super Yang-Mills theory, exploring space structure, large N scaling, and potential Lorentz symmetry breaking in simplified IKKT models.

Contribution

It introduces a simulation approach for a supersymmetric matrix model related to the IKKT model, analyzing space structure and symmetry properties.

Findings

Eigenvalue distribution reveals space structure.

Wilson loop correlators show universal large N scaling.

Evidence for spontaneous Lorentz symmetry breaking is investigated.

Abstract

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory (a 4d counter part of the IKKT model or IIB matrix model). The eigenvalue distribution determines the space structure. The measurement of Wilson loop correlators reveals a universal large N scaling. Eguchi-Kawai equivalence may hold in a finite range of scale, which is also true for the bosonic case. We finally report on simulations of a low energy approximation of the 10d IKKT model, where we omit the phase of the Pfaffian and look for evidence for a spontaneous Lorentz symmetry breaking.