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Geometric and dynamical aspects of a coupled 4D-2D interacting quantum fieldtheory - the gauged nonAbelian vortex - are investigated. The fluctuations ofthe internal 2D nonAbelian vortex zeromodes excite the massless 4D Yang-Millsmodes and in general give rise to divergent energies. This means that thewell-known 2D CP(N-1) zeromodes associated with a nonAbelian vortex becomenonnormalizable. Moreover, all sorts of global, topological 4D effects such asthe nonAbelian Aharonov-Bohm effect come into play. These topological globalfeatures and the dynamical properties associated with the fluctuation of the 2Dvortex moduli modes are intimately correlated, as shown concretely here in aU(1) x SU(N) x SU(N) model with scalar fields in a bifundamental representationof the two SU(N) factor gauge groups.

Geometry and Dynamics of a Coupled 4D-2D Quantum Field Theory