Chiral Fermions and the Standard Model from the Matrix Model Compactified on a Torus

Abstract

It is shown that the IIB matrix model compactified on a six-dimensional torus with a nontrivial topology can provide chiral fermions and matter content close to the standard model on our four-dimensional spacetime. In particular, generation number three is given by the Dirac index on the torus.

Comments: 21 pages, 5 figures; ver2: version published in Prog. Theor. Phys; ver3: minor corrections