Matrix models

Abstract

Matrix models and their connections to string theory and noncommutative geometry are discussed. Various types of matrix models are reviewed. The most interesting are IKKT and BFSS models. They are introduced as 0+0 and 1+0-dimensional reduction of Yang-Mills model respectively. They are obtained via the deformations of string/membrane worldsheet/worldvolume. Classical solutions leading to noncommutative gauge models are considered. © Springer 2006.