Effective actions of the IIB matrix model on S3

被引:6
|
作者
Kaneko, Hiromichi [1 ]
Kitazawa, Yoshihisa [1 ,2 ]
Matsumoto, Koichiro [2 ]
机构
[1] High Energy Accelerator Res Org, KEK, Tsukuba, Ibaraki 3050801, Japan
[2] Grad Univ Adv Studies, Dept Particle & Nucl Phys, Tsukuba, Ibaraki 3050801, Japan
关键词
D O I
10.1103/PhysRevD.76.084024
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
S-3 is a simple principle bundle which is locally S(2)xS(1). It has been shown that such a space can be constructed in terms of matrix models. It has also been 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. 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 1-loop level are sensitive to the UV cutoff. However, the 2-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 3-dimensional gauge theory is superrenormalizable.
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页数:19
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