Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions

TL;DR

This paper investigates how orientifolding in the IIB matrix model preserves supersymmetry and induces a directional asymmetry in effective interactions, influencing forces between spacetime points and leading to attraction towards a four-dimensional plate.

Contribution

It demonstrates that matrix orientifolding with preserved supersymmetries causes directional asymmetry in effective interactions, affecting force dynamics in the IIB matrix model.

Findings

Directional asymmetry leads to attraction towards a 4D plate.

Two-body attraction between spacetime points is affected by orientifolding.

Effective interactions exhibit spacetime directional asymmetry.

Abstract

Effects of matrix orientifolding that preserves supersymmetries are considered in the IIB matrix model with regard to its effective dynamics generated for diagonal elements. Taking the case of maximal supersymmetries and the long distance expansion of the one-loop effective action as well as cases where the size of the matrices is small, we demonstrate that the directional asymmetry of spacetime brought upon by this setup in fact leads to that of the forces exerting on the spacetime points: in addition to the two-body attraction between two points, there are attractions toward the four dimensional plate.