Boundary metrics on soliton moduli spaces

Sutcliffe, Paul

Abstract

The geodesic approximation is a powerful method for studying the dynamics of BPS solitons. However, there are systems, such as BPS monopoles in three-dimensional hyperbolic space, where this approach is not applicable because the moduli space metric defined by the kinetic energy is not finite. In the case of hyperbolic monopoles, an alternative metric has been defined using the abelian connection on the sphere at infinity, but its relation to the dynamics of hyperbolic monopoles is unclear. Here this metric is placed in a more general context of boundary metrics on soliton moduli spaces. Examples are studied in systems in one and two space dimensions, where it is much easier to compare the results with simulations of the full nonlinear field theory dynamics. It is found that geodesics of the boundary metric provide a reasonable description of soliton dynamics.

Citation

Sutcliffe, P. (2022). Boundary metrics on soliton moduli spaces. Journal of High Energy Physics, 2022(1), Article 118. https://doi.org/10.1007/jhep01%282022%29118

• Journal Article Type: Article
• Acceptance Date: Jan 5, 2022
• Online Publication Date: Jan 21, 2022
• Publication Date: 2022-01
• Deposit Date: Jan 27, 2022
• Publicly Available Date: Jan 28, 2022
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 1
• Article Number: 118
• DOI: https://doi.org/10.1007/jhep01%282022%29118
• Public URL: https://durham-repository.worktribe.com/output/1216056