Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons

Smith, Douglas J.; Robson, Calum J.; Farrow, Joseph A.

doi:10.1103/physrevd.106.045001

Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons

Smith, Douglas J.; Robson, Calum J.; Farrow, Joseph A.

Authors

Professor Douglas Smith douglas.smith@durham.ac.uk
Head Of Department

Calum J. Robson

Joseph Farrow joseph.a.farrow@durham.ac.uk
PGR Student Doctor of Philosophy

Abstract

We examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5D super Yang-Mills theory. We begin by detailing the construction of the 1=4-Bogamolyni-Prasad-Somerfeldt instanton solutions, their moduli space, and the moduli space potential using an explicit parametrization of the moduli space coordinates in terms of the biquaternions. We then go on to numerically analyze the dynamics on the moduli spaces we have constructed, discussing some of the numerical issues which arose, and describing the numerical algorithm we developed to solve them.

Citation

Smith, D. J., Robson, C. J., & Farrow, J. A. (2022). Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons. Physical Review D, 106(4), Article 045001. https://doi.org/10.1103/physrevd.106.045001

Journal Article Type	Article
Acceptance Date	Jun 9, 2022
Online Publication Date	Aug 1, 2022
Publication Date	2022
Deposit Date	Aug 8, 2022
Publicly Available Date	Aug 8, 2022
Journal	Physical Review D
Print ISSN	2470-0010
Electronic ISSN	2470-0029
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	106
Issue	4
Article Number	045001
DOI	https://doi.org/10.1103/physrevd.106.045001

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