- 93-19 Sadun L.
- A Symmetric Family of Yang-Mills Fields
(118K, AmSTeX 2.1)
Jan 25, 93
(auto. generated ps),
of related papers
Abstract. We examine a family of finite energy $SO(3)$
Yang-Mills connections over $S^4$, indexed by two real parameters.
This family includes both smooth connections (when both parameters are
odd integers), and connections
with a holonomy singularity around 1 or 2 copies of $RP^2$. These singular
YM connections interpolate between the smooth solutions. Depending on the
parameters, the curvature may be self-dual, anti-self-dual, or neither.
For the (anti)self-dual connections, we compute the formal dimension of
the moduli space. For the non-self-dual connections we examine the second
variation of the Yang-Mills functional, and count the negative and zero
eigenvalues. Each component of the
non-self-dual moduli space appears to consist only of
conformal copies of a single solution.