English

Field Theory on $q=-1$ Quantum Plane

q-alg 2015-06-26 v1 Quantum Algebra

Abstract

We build the q=1q=-1 defomation of plane on a product of two copies of algebras of functions on the plane. This algebra constains a subalgebra of functions on the plane. We present general scheme (which could be used as well to construct quaternion from pairs of complex numbers) and we use it to derive differential structures, metric and discuss sample field theoretical models.

Keywords

Cite

@article{arxiv.q-alg/9503007,
  title  = {Field Theory on $q=-1$ Quantum Plane},
  author = {Andrzej Sitarz},
  journal= {arXiv preprint arXiv:q-alg/9503007},
  year   = {2015}
}

Comments

LaTeX, 10 pages

R2 v1 2026-07-22T19:20:22.598Z