Axially Symmetric Multisphalerons in Yang-Mills-Dilaton Theory

Abstract

We construct sequences of axially symmetric multisphaleron solutions in SU(2) Yang-Mills-dilaton theory. The sequences are labelled by a winding number $n>1$. For $n=1$ the known sequence of spherically symmetric sphaleron solutions is obtained. The solutions within each sequence are labelled by the number of nodes $k$ of the gauge field functions. The limiting solutions of the sequences correspond to abelian magnetic monopoles with $n$ units of charge and energy $E\propto n$.

18 pages, including 7 postscript figures

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• Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory
• Static Axially Symmetric Solutions of Einstein-Yang-Mills-Dilaton Theory
• Static Axially Symmetric Einstein-Yang-Mills-Dilaton Solutions: II.Black Hole Solutions
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: the regular case
• BPS submodels of the Skyrme model
• Platonic Sphalerons in the Presence of a Dilaton Field
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Excited Platonic Sphalerons in the Presence of a Dilaton Field
• Static Axially Symmetric Einstein-Yang-Mills-dilaton solutions: Addendum Asymptotic solutions
• On the regularity of static axially symmetric solutions in SU(2) Yang-Mills-dilaton theory
• Particle-like platonic solutions in scalar gravity
• Cylindrically symmetric solitons in Einstein-Yang-Mills theory
• Integrable subsystem of Yang--Mills dilaton theory
• Euclidean solutions of Yang-Mills theory coupled to a massive dilaton