Aspects of the q-deformed Fuzzy Sphere
High Energy Physics - Theory
2009-11-07 v1 Quantum Algebra
Abstract
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' noncommutative 2-sphere covariant under the quantum group U_q(su(2)). We discuss its real structure, differential calculus and integration for both real q and q a phase, and show how actions for Yang-Mills and Chern- Simons-like gauge theories arise naturally. It is related to D-branes on the SU(2)_k WZW model for q = exp(\frac{i \pi}{k+2}).
Cite
@article{arxiv.hep-th/0102074,
title = {Aspects of the q-deformed Fuzzy Sphere},
author = {Harold Steinacker},
journal= {arXiv preprint arXiv:hep-th/0102074},
year = {2009}
}
Comments
5 pages. Talk presented at the Euroconference ``Brane New World and Noncommutative Geometry'' in Villa Gualino, Torino, Italy, October 2 - 7, 2000