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 review some aspects of the implementation of spacetime symmetries in noncommutative
field theories, emphasizing their origin in string theory and how they may be used to …

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 …

We construct gauge invariant operators in non-commutative gauge theories which in the IR
reduce to the usual operators of ordinary field theories (eg F^ 2). We show that in the deep …

We showed before that self-dual electromagnetism in noncommutative (NC) space–time is
equivalent to self-dual Einstein gravity. This result implies a striking picture about gravity …

A pedagogical introduction to some of the main ideas and results of field theories on
quantized spacetimes is presented, with emphasis on what such field theories may teach us …

Generalizations of the∗-product (eg, n-ary∗ n operations) appear in various places in the
discussion of noncommutative gauge theories. These include the one-loop effective action …

Exact solution to the Seiberg-Witten equation of noncommutative gauge theory Page 1 Exact
solution to the Seiberg-Witten equation of noncommutative gauge theory Yuji Okawa* and …

We consider a deformed superspace in which the coordinates θ do not anticommute, but
satisfy a Clifford algebra. We present results on the properties of Script N= 1/2 …