Quantum Corrections on Fuzzy Sphere
T. Imai, Y. Kitazawa, Y. Takayama, D. Tomino
TL;DR
This paper studies quantum corrections in non-commutative gauge theories on fuzzy spheres, revealing persistent quantum effects and a preference for larger gauge groups, with connections to 2D quantum gravity.
Contribution
It provides a detailed two-loop analysis of quantum effects on fuzzy spheres, showing deviations from classical predictions and insights into gauge group preferences.
Findings
Quantum corrections persist at all loop levels.
Two-loop results favor U(n) over U(1) gauge groups.
Connections to two-dimensional quantum gravity.
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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