1202.4848 (Victor Mikhaylov)

On the Solutions of Generalized Bogomolny Equations    [PDF]

Victor Mikhaylov

Generalized Bogomolny equations are encountered in the localization of the
topological N=4 SYM theory. The boundary conditions for 't Hooft and surface
operators are formulated by giving a model solution with some special
singularity. In this note we consider the generalized Bogomolny equations on a
half space and construct model solutions for the boundary 't Hooft and surface
operators. It is shown that for the 't Hooft operator the equations reduce to
the open Toda chain for arbitrary simple gauge group. For the surface operators
the solutions of interest are rational solutions of a periodic non-abelian Toda
system.

View original: http://arxiv.org/abs/1202.4848