String Theory, Matrix Model, and Noncommutative Geometry

TL;DR

This paper explores the compactification of the Matrix Model on a noncommutative torus, analyzing the BPS spectrum and revealing a new SL(2,Z) symmetry arising from string-D-brane interactions with background B fields.

Contribution

It introduces a novel approach to compactification involving noncommutative geometry and uncovers a new SL(2,Z) symmetry in the system.

Findings

Compactification on a noncommutative torus derived from string-D-brane setups.

Identification of the BPS spectrum in this context.

Discovery of a new SL(2,Z) symmetry in the model.

Abstract

Compactification of Matrix Model on a Noncommutative torus is obtained from strings ending on D-branes with background B field. The BPS spectrum of the system and a novel SL(2,Z) symmetry are discussed.