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 …

Horizon-scale images of black holes (BHs) and their shadows have opened an
unprecedented window onto tests of gravity and fundamental physics in the strong-field …

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 …

Axioms for nonunital spectral triples, extending those introduced in the unital case by
Connes, are proposed. As a guide, and for the sake of their importance in noncommutative …

We show that the matrix-model action for noncommutative U (n) gauge theory actually
describes SU (n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional …

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 …

U (n) Yang–Mills theory on the fuzzy sphere S2N is quantized using random matrix methods.
The gauge theory is formulated as a matrix model for a single Hermitian matrix subject to a …

We present the exact solution of a scalar field theory defined with noncommuting position
and momentum variables. The model describes charged particles in a uniform magnetic …

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 bstract We develop a geometric approach to Poisson electrodynamics, that is, the semi-
classical limit of noncommutative U (1) gauge theory. Our framework is based on an …