Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model

TL;DR

This paper investigates how matrix orientifolding affects the spacetime structure in the IIB matrix model, revealing eigenvalue distributions around a four-dimensional plane through two-loop effective action calculations.

Contribution

It introduces the effects of orientifolding on the two-loop effective action and eigenvalue distribution in the IIB matrix model, highlighting the mirror image symmetry.

Findings

Eigenvalues form a tubular distribution around a four-dimensional plane.

Orientifolding preserves supersymmetries and induces mirror image points.

Two-loop calculations provide bounds on eigenvalue distances.

Abstract

We study the spacetime structures which are described by the IIB matrix model with orientifolding. Matrix orientifolding that preserves supersymmetries yields the mirror image point with respect to a four-dimensional plane for each spacetime point that corresponds to the eigenvalue of the bosonic matrix. In order to consider the upper bound on the distance between two eigenvalues in this model, we calculate the effective action for the eigenvalues up to two-loop. The eigenvalues distribute in a tubular region around the four-dimensional plane.