Monday, December 17, 2012

1212.3561 (J. M. Baptista)

Vortices as degenerate metrics    [PDF]

J. M. Baptista
We note that the Bogomolny equation for abelian vortices is precisely the condition for invariance of the Hermitian-Einstein equation under a degenerate conformal transformation. This leads to a natural interpretation of vortices as degenerate hermitian metrics that satisfy a certain curvature equation. Using this viewpoint, we rephrase standard results about vortices and make some new observations. We note the existence of a conceptually simple, non-linear rule for superposing vortex solutions, and we describe the natural behaviour of the L^2-metric on the moduli space upon certain restrictions.
View original: http://arxiv.org/abs/1212.3561

No comments:

Post a Comment