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 …

We show that the κ-Poincaré Hopf algebra can be interpreted in the framework of curved
momentum space leading to relative locality. We study the geometric properties of the …

While there has been growing interest for noncommutative spaces in recent times, most
examples have been based on the simplest noncommutative algebra:[xi, xj]= iθ ij. Here we …

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black
hole, which is deformed due to noncommutative corrections. We introduce the deformed …

We consider noncommutative geometries obtained from a triangular Drinfeld twist and
review the formulation of noncommutative gravity. A detailed study of the abelian twist …

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy
sphere. We use a novel algorithm which strongly reduces the correlation problems in the …

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on
physical theories. We systematically deform all products and symmetries of the theory. We …

A gravitational field can be defined in terms of a moving frame, which when made
noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a …

We present a comparison of the noncommutative field theories built using two different star
products: Moyal and Wick-Voros (or normally ordered). For the latter we discuss both the …

We study a new class of quintessence models, in which the scalar field possesses an O (N)
internal symmetry. We give a critical condition of instability for the potential against Q ball …