  As a sequel to the previous work [Phys. Rev. B 72, 235104 (2005)] we present
a vortex description of the fractionalized phase in exciton bose condensate.
Magnetic flux line and monopole of the 3+1D emergent U(1) gauge theory are
identified in the exciton picture. A bundle of vortex/anti-vortex pairs of all
flavors of excitons corresponds to the magnetic flux line and a point at which
the vortices and anti-vortices recombine is identified as magnetic monopole.
This completes the magnetic sector of the low energy excitation in the
fractionalized phase.
