Field Theory on the q-deformed Fuzzy Sphere I

Details Field Theory on the q-deformed Fuzzy Sphere I Field Theory on the q-deformed Fuzzy Sphere I

2000-05-29

arxiv.org/abs/hep-th/0005273v2

J.Geom.Phys. 38 (2001) 308-342

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 1 figure. Slight correction to reality condition for fields, typos corrected. To appear in Journ. Geom. Phys

Scientific paper

10.1016/S0393-0440(00)00068-1

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.

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