Skip to main content

Research Repository

Advanced Search

The low energy dynamics of charge two dyonic instantons

Allen, J.P.; Smith, D.J.


J.P. Allen


We explore the low energy dynamics of charge two instantons and dyonic instantons in SU(2) 5-dimensional Yang-Mills. We make use of the moduli space approximation and first calculate the moduli space metric for two instantons. For dyonic instantons the effective action of the moduli space approximation also includes a potential term which we calculate. Using the ADHM construction we are able to understand some aspects of the topology and structure of the moduli space. We find that instantons undergo right angled scattering after a head on collision and we are able to give an analytic description of this in terms of a quotient of the moduli space by symmetries of the ADHM data. We also explore the scattering of instantons and dyonic instantons numerically in a constrained region of the moduli space. Finally we exhibit some examples of closed geodesics on the moduli space, and geodesics which hit the moduli space singularities in finite time.


Allen, J., & Smith, D. (2013). The low energy dynamics of charge two dyonic instantons. Journal of High Energy Physics, 2013(2), Article 113.

Journal Article Type Article
Publication Date Feb 20, 2013
Deposit Date Sep 12, 2013
Publicly Available Date Jun 17, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2013
Issue 2
Article Number 113
Keywords Solitons monopoles and instantons, D-branes.


You might also like

Downloadable Citations