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arXiv · hep-th/0005273

Field Theory on the q-deformed Fuzzy Sphere I

Harald Grosse·John Madore·Harold Steinacker
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Abstract

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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Harald Grosse, John Madore, Harold Steinacker. 2000-12-08. Field Theory on the q-deformed Fuzzy Sphere I. https://doi.org/10.1016/s0393-0440(00)00068-1

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