Twisted Dirac operator on quantum SU(2) in disc coordinates
Quantum Algebra
2019-12-18 v1
Abstract
The quantum disc is used to define a noncommutative analogue of a dense coordinate chart and of left-invariant vector fields on quantum SU(2). This yields two twisted Dirac operators for different twists that are related by a gauge transformation and have bounded twisted commutators with a suitable algebra of differentiable functions on quantum SU(2).
Keywords
Cite
@article{arxiv.1912.08155,
title = {Twisted Dirac operator on quantum SU(2) in disc coordinates},
author = {Ulrich Kraehmer and Elmar Wagner},
journal= {arXiv preprint arXiv:1912.08155},
year = {2019}
}