This article reviews the generalization of field theory to space-time with noncommuting
coordinates, starting with the basics and covering most of the active directions of research …

A pedagogical and self-contained introduction to noncommutative quantum field theory is
presented, with emphasis on those properties that are intimately tied to string theory and …

We describe the modern formalism, ideas and applications of the instanton calculus for
gauge theories with, and without, supersymmetry. Particular emphasis is put on develo** …

The concept of covariant coordinates on noncommutative spaces leads directly to gauge
theories with generalized noncommutative gauge fields of the type that arises in string …

In this lecture notes we explain and discuss some ideas concerning noncommutative
geometry in general, as well as noncommutative field theories and string field theories. We …

The IR/UV mixing and the violation of unitarity are two of the most intriguing aspects of
noncommutative quantum field theories. In this paper the relation between these two …

In this paper, we consider two-dimensional N=(4, 4) supersymmetric Yang–Mills (SYM)
theory and deform it by a mass parameter M with kee** all supercharges. We further add …

We study in detail the ADHM construction of U (N) instantons on noncommutative Euclidean
space–time R NC 4 and noncommutative space R NC 2× R 2. We point out that the …

We study the commutative limit of the non-commutative maximally supersymmetric Yang–
Mills theory in four dimensions (N= 4 SYM), where non-commutativity is introduced in the …

We study the low-energy dynamics of noncommutative N= 2 supersymmetric U (N) Yang-
Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the …