Anomalous interactions of five-dimensional USp(2k) gauge theory

We consider the five-dimensional USp(2k) gauge theory which consists of one antisymmetric and n(f) fundamental hypermultiplets. This gauge theory is a many-probe generalization of the SU(2) gauge theory in five dimensions con sidered by Seiberg in the context of probing type I superstring by a D4-bra ne. This gauge theory can also be obtained from the USp(2k) matrix model by matrix T-dual transformations in the large k limit. We exhibit the anomalous interaction associated with this five-dimensional theory on the now phase, where the vacuum expectation values (vevs) of the scalars belonging to the antisymmetric hypermultiplet are also nonvanishing . On the Coulomb phase, the anomalous interaction has been computed in Refs . 1 and 2.