Matrix Models

Abstract

Matrix models and their connections to String Theory and noncommutative geometry are discussed. Various types of matrix models are reviewed. Most of interest 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.

Lectures given at the Winter School on Modern Trends in Supersymmetric Mechanics, March 2005 Frascati; 38pp

References in corpus (4)

• A Perturbative Window into Non-Perturbative Physics
• On lightcone string field theory from Super Yang-Mills and holography
• On matrix models for anomalous dimensions of super Yang-Mills theory
• On renormalizability of the quantum electrodynamics on noncommutative space

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