English

A New Class of Two-Dimensional Noncommutative Spaces

High Energy Physics - Theory 2009-11-07 v2 Quantum Algebra

Abstract

We find an infinite number of noncommutative geometries which posses a differential structure. They generalize the two dimensional noncommutative plane, and have infinite dimensional representations. Upon applying generalized coherent states we are able to take the continuum limit, where we recover the punctured plane with non constant Poisson structures.

Keywords

Cite

@article{arxiv.hep-th/0112220,
  title  = {A New Class of Two-Dimensional Noncommutative Spaces},
  author = {A. Pinzul and A. Stern},
  journal= {arXiv preprint arXiv:hep-th/0112220},
  year   = {2009}
}

Comments

19 pages

R2 v1 2026-07-22T15:08:22.511Z