Geometry of the Grosse-Wulkenhaar Model

@inproceedings{Buri2009GeometryOT,
  title={Geometry of the Grosse-Wulkenhaar Model},
  author={Maja Buri{\'c} and Michael Wohlgenannt},
  year={2009}
}
We define a two-dimensional noncommutative space as a limit of finite-matrix spaces which have space-time dimension three. We show that on such space the Grosse-Wulkenhaar (renormalizable) action has natural interpretation as the action for the scalar field coupled to the curvature. We also discuss a natural generalization to four dimensions.