Aspects of the q-deformed Fuzzy Sphere
Abstract
These notes are a short review of the q-deformed fuzzy sphere S2q,N, which is a ``finite'' noncommutative 2-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(i πk+2).
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