Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model
B. Chen, H. Itoyama, H. Kihara
Abstract
The nonabelian Berry phase is computed in the T dualized quantum mechanics obtained from the USp(2k) matrix model. Integrating the fermions, we find that each of the spacetime points Xν(i) is equipped with a pair of su(2) Lie algebra valued pointlike singularities located at a distance m(f) from the orientifold surface. On a four dimensional paraboloid embedded in the five dimensional Euclidean space, these singularities are recognized as the BPST instantons.
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