  We study the q-deformed fuzzy sphere, which is related to D-branes on SU(2)
WZW models, for both real q and q a root of unity. We construct for both cases
a differential calculus which is compatible with the star structure, study the
integral, and find a canonical frame of one-forms. We then consider actions for
scalar field theory, as well as for Yang-Mills and Chern-Simons-type gauge
theories. The zero curvature condition is solved.

High Energy Physics - Theory;Quantum Algebra