Dynamical generation of a nontrivial index on the fuzzy 2-sphere
  In the previous paper hep-th/0312199 we studied the 't Hooft-Polyakov (TP) monopole configuration in the U(2) gauge theory on the fuzzy 2-sphere and showed that it has a nonzero topological charge in the formalism based on the Ginsparg-Wilson relation. In this paper, by showing that the TP monopole configuration is stabler than the U(2) gauge theory without any condensation in the Yang-Mills-Chern-Simons matrix model, we will present a mechanism for dynamical generation of a nontrivial index. We further analyze the instability and decay processes of the U(2) gauge theory and the TP monopole configuration. 
Hajime Aoki (Saga Univ.), Satoshi Iso (KEK), Toshiharu Maeda (Saga   Univ. and KEK) and Keiichi Nagao (KEK)