Orbifold matrix models and fuzzy extra dimensions

TL;DR

This paper explores orbifold matrix models derived from the type IIB matrix model, analyzing their vacua, moduli space, and modifications that lead to higher-dimensional fuzzy geometries, with implications for chiral gauge theories and gravity.

Contribution

It provides a detailed analysis of the moduli space of orbifold matrix models and introduces modifications that produce fuzzy extra dimensions with potential physical relevance.

Findings

Certain vacua exhibit higher-dimensional fuzzy geometries.

Modifications induce internal geometries related to fuzzy spheres.

Discussion of implications for chiral gauge theories and gravity.

Abstract

We revisit an orbifold matrix model obtained as a restriction of the type IIB matrix model on a Z_3-invariant sector. An investigation of its moduli space of vacua is performed and issues related to chiral gauge theory and gravity are discussed. Modifications of the orbifolded model triggered by Chern-Simons or mass deformations are also analyzed. Certain vacua of the modified models exhibit higher-dimensional behaviour with internal geometries related to fuzzy spheres.