Effective actions of the IIB matrix model on S3

S3 is a simple principle bundle which is locally S2xS1. 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