35 research outputs found
Fermions in the vortex background on a sphere
In 5+1 dimensions, we construct a vortex-like solution on a two-dimensional
sphere. We study fermionic zero modes in the background of this solution and
relate them to the replication of fermion families in the Standard Model. In
particular, using a compactified space removes the need for the difficult
localisation of gauge fields, while the present procedure (rather than naive
compactification on a disk) also removes spurious fermionic modes.Comment: 13 pages, 1 eps figure, JHEP3 style required, references adde
Q-holes
We consider localized soliton-like solutions in the presence of a stable
scalar condensate background. By the analogy with classical mechanics, it can
be shown that there may exist solutions of the nonlinear equations of motion
that describe dips or rises in the spatially-uniform charge distribution. We
also present explicit analytical solutions for some of such objects and examine
their properties.Comment: 17 pages, 11 figures, LaTeX. v3: minor corrections in the tex