Reduced Models and Noncommutative Gauge Theories

TL;DR

This paper reviews the connection between Reduced Models and Noncommutative Yang-Mills theories, highlighting their theoretical relationships, mappings, and interpretations, including D-brane perspectives, based on collaborative research.

Contribution

It provides a comprehensive overview of the relation between Reduced Models and NCYM, including recent developments and interpretations, especially in the context of D-branes and Morita equivalence.

Findings

Mapping of TEK model onto NCYM

Demonstration of Morita equivalence

D-brane interpretation of NCYM

Abstract

This is a short review of the relation between the Reduced Models and Noncommutative Yang-Mills Theories (NCYM) based on the work done in collaboration with J. Ambjorn, J. Nishimura and R. Szabo. Contents: 1.Twisted Eguchi-Kawai model (TEK), 2.Mapping onto NCYM, 3.Morita equivalence, 4.Fundamental matter, 5.Wilson loops in NCYM, 6.D-brane interpretation. Talk given at the 11th International Seminar "Quarks'2000", Pushkin, Russia, May 13-21, 2000 and the E.S.Fradkin Memorial Conference, Moscow, June 5-10, 2000.