Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-27
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 6 figures, references and comments are added
Scientific paper
Itoyama-Tokura type USp matrix model is discussed. Non-Abelian Berry's phases in a T-dualized model of IT model were reconsidered. These phases describe the higher dimensional monopoles; Yang monopole and nine-dimensional monopole. They are described by the connections of the BPST instanton on S^4 and the Tchrakian-GKS instanton on S^8, respectively. As a preparation to understand their effect in original zero-dimensional model, we consider partition function of simplified matrix models. We compute partition functions of SU, SO and USp reduced matrix models. Groups SO and USp appear in low energy effective theories of string against orientifold background. In this evaluation we chose different poles from that of Moore-Nekrasov-Shatashvili and our previous result. The position of poles explain branes' and the orientifold's configurations. There is a brane which is sitting on the orientifold in the SO(2N) model, while in USp(2N) and SO(2N+1) model there are no branes on the orientifold. The grand partition functions of these models are considered. They follow to linear second order ordinary differential equations and their singularities are q=0,\infty. Their solutions can be analytically continued to whole q plane. We show the expectation values of the number N of A and C cases as examples. There is an ambiguity coming from the problem on sign. Grand partition functions with minus sign give effective actions which have cusp singularities.
No associations
LandOfFree
Grand Partition Functions of Little Matrix Models with ABCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Grand Partition Functions of Little Matrix Models with ABCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Grand Partition Functions of Little Matrix Models with ABCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354507