Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-12
Phys.Rev.D76:084024,2007
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 2 figures; added comments, corrected typos
Scientific paper
10.1103/PhysRevD.76.084024
S^3 is a simple principle bundle which is locally S^2 \times S^1. It has been shown that such a space can be constructed in terms of matrix models. It has been also shown that such a space can be realized by a generalized compactification procedure in the S^1 direction. We investigate the effective action of supersymmetric gauge theory on S^3 with an angular momentum cutoff and that of a matrix model compactification. The both cases can be realized in a deformed IIB matrix model with a Myers Term. We find that the highly divergent contributions at the tree and one loop level are sensitive to the uv cutoff. However the two loop level contributions are universal since they are only logarithmically divergent. We expect that the higher loop contributions are insensitive to the uv cutoff since 3d gauge theory is super renormalizable.
Kaneko Hiromichi
Kitazawa Yoshihisa
Matsumoto Koichiro
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