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arXiv · hep-th/0303120

Quantum Corrections on Fuzzy Sphere

T. Imai·Y. Kitazawa·Y. Takayama·D. Tomino
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Abstract

We investigate quantum corrections in non-commutative gauge theory on fuzzy sphere. We study translation invariant models which classically favor a single fuzzy sphere with U(1) gauge group. We evaluate the effective actions up to the two loop level. We find non-vanishing quantum corrections at each order even in supersymmetric models. In particular the two loop contribution favors U(n) gauge group over U(1) contrary to the tree action in a deformed IIB matrix model with a Myers term. We further observe close correspondences to 2 dimensional quantum gravity.

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T. Imai, Y. Kitazawa, Y. Takayama, D. Tomino. 2003-05-28. Quantum Corrections on Fuzzy Sphere. https://doi.org/10.1016/s0550-3213(03)00491-7

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