Geometry Working Seminar

Christopher Lang, Department of Pure Mathematics, University of Waterloo

"On the charge density and asymptotic tail of a monopole"

We follow Harland and Nogradi's 2016 paper [1] where they define an abelian magnetic charge density for non-abelian monopoles. This agrees asymptotically with the conventional charge distributions but is smooth inside of the monopole. We then show the relationship between this charge density and the tail of a monopole, as given by Hurtubise. Finally, we show how this charge density can be obtained from the Nahm data of the monopole directly.

[1] Harland, D., & Nogradi, D. (2016). On the charge density and asymptotic tail of a monopole. J. Math. Phys, 57(2), 022903.

Zoom meeting: contact Spiro Karigiannis (karigiannis@uwaterloo.ca) or Ragini Singhal (r4singha@uwaterloo.ca) for link.