Aspects of the q-deformed fuzzy sphere
- Author(s)
- Harold Steinacker
- Abstract
These notes are a short review of the q-deformed fuzzy sphere Sq,N2, which is a "finite" noncommutative two-sphere covariant under the quantum group Uq(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(ip/k+2).
- Organisation(s)
- Mathematical Physics, Particle Physics
- Pages
- 361-365
- No. of pages
- 5
- DOI
- https://doi.org/10.1142/S0217732301003462
- Publication date
- 2001
- Austrian Fields of Science 2012
- 103036 Theoretical physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/aspects-of-the-qdeformed-fuzzy-sphere(db4e2597-d3a6-48c0-ac5b-70a78ef51db0).html