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Phys. Rev. D 76, 084024 (2007) [19 pages]

Effective actions of the IIB matrix model on S3

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Hiromichi Kaneko1,*, Yoshihisa Kitazawa1,2,†, and Koichiro Matsumoto2,‡
1High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
2Department of Particle and Nuclear Physics, The Graduate University for Advanced Studies (SOKENDAI), Tsukuba, Ibaraki 305-0801, Japan

Received 4 July 2007; published 19 October 2007

S3 is a simple principle bundle which is locally S2×S1. 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 S1 direction. We investigate the effective action of supersymmetric gauge theory on S3 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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.084024
DOI:
10.1103/PhysRevD.76.084024
PACS:
04.62.+v, 11.15.Bt, 11.15.Pg

*kanekoh@post.kek.jp

kitazawa@post.kek.jp

kmatsumo@post.kek.jp