Higgs phase in a gauge U(1) non-linear CP1-model. Two species of BPS vortices and their zero modes

Abstract

[EN]In this paper zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged U(1) nonlinear CP1-model. If 2πn, n∈Z, is the quantized magnetic flux of the two species of BPS vortex solutions, 2n linearly independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension 2n of these stringy topological defects is thus locally shown.