–
Room P3.10, Mathematics Building
João Baptista, Cambridge University
Vortex dynamics on the sphere
I will first give a brief overview of the Bogomolny equations for vortices, their moduli space of solutions, and the method of geodesic approximation. In the case
of
vortices on a sphere of radius
this moduli space is
, but the geodesic method cannot be directly applied, because the
solutions of the Bogomolny equations are
not known explicitly. I will then try to show how to circumvent this problem in the limit where
is close to
.
References
- J. M. Baptista and N. S. Manton, The dynamics of vortices on near the Bradlow limit, hep-th/0208001.
- T. M. Samols, Vortex Scattering, Commun. Math. Phys. 145, 149 (1992).