On Monopole Systems with Weak Axial Syrnmetry

Houston, P. and O'Raifeartaigh, L. (1980) On Monopole Systems with Weak Axial Syrnmetry. (Preprint)

Text DIAS-STP-80-32.pdf Download (871kB)

Abstract

Let (Φ,A) be an SO(3) Yang-Mills-Higgs system which is a real-analytic static, finite-energy solution of the Bogomolny field equations B = DΦ. We show that the zero-set of the current J = (Φ_Λ)DΦ is of dimension at most one. Using this property of J we obtain the curious result that if the system is axially symmetric, in the weak sense that all local scalar gauge-invariants are axially symmetric, the topological charges must be located on the axis of symmetry and must be of equal magnitude and alternate sign. In particular, if the charges are of uniform sign they must be concentrated at a single point. The fact that the charges of spherically symmetric monopoles are bounded by unity is obtained as a corollary. It is also shown that a master-potential for the invariant fields that was found earlier to exist for systems with additional symmetry, exists as a direct consequence of weak axial symmetry alone.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	10 Jul 2018 14:58
Last Modified:	17 Dec 2022 10:11
URI:	https://dair.dias.ie/id/eprint/914

Actions (login required)

View Item

Downloads