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 …

We propose a finite Chern-Simons matrix model on the plane as an effective description of
fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction …

In this note, we study a matrix-regularized version of non-commutative U (1) Chern-Simons
theory proposed recently by Polychronakos. We determine a complete minimal basis of …

In this review article we discuss some of the applications of noncommutative geometry in
physics that are of recent interest, such as noncommutative many-body systems …

We formulate noncommutative three-dimensional (3D) gravity by making use of its
connection with 3D Chern-Simons theory. In the Euclidean sector, we consider the topology …

We deform a two-dimensional topological gravity making use of its gauge theory formulation.
The obtained noncommutative gravity model is shown to be invariant under a class of …

We introduce a finite dimensional matrix model approximation to the algebra of functions on
a disc based on noncommutative geometry. The algebra is a subalgebra of the one …

MAGNETIC BACKGROUNDS AND NONCOMMUTATIVE FIELD THEORY Page 1 April 27,
2004 16:4 WSPC/139-IJMPA 01809 International Journal of Modern Physics A Vol. 19, No …

The Dirac approach to constrained systems can be adapted to construct relativistic invariant
theories on a noncommutative (NC) space. As an example, we propose and discuss …