报 告 题 目：Calorons and constituent monopoles

主 讲 人：Calum Ross

单 位：英国伦敦大学学院

时 间：3月9日18:00

ZOOM ID：210-089-8623

密 码：123456

摘 要：

Calorons are instantons on $\mathbb{R}^3\times S^1$, e.g. instantons with a periodic direction. Depending on the size of the circle they can look like instantons on $\mathbb{R}^4$ or monopoles on $\mathbb{R}^3$.The known examples, such as those due to Krann-van Baal and Lee-Lu, have an interpretation in terms of constituent monopoles. This picture can be formalised to give a construction of SU(2) calorons as a superposition of BPS monopoles and "rotated BPS" monopoles glued into a singular background. The singular background consists of Abelian Dirac monopoles with both positive and negative charges. I will sketch some of the basics about calorons and give an outline of this construction as well as how it can be generalised to G calorons, for G an arbitrary simple group. This is joint work with Lorenzo Foscolo.

简 介：

Calum Ross obtained his PhD from Heriot-Watt University, UK, under the supervision of Prof. Bernd Schroers, is a mathematician at the University College of London, UK, and has been a postdoc at Keio University, Japan. Calum's expertise is in Cartan Geometry, vortices and magnetic Skyrmions at critical coupling. He has published 6 papers in Journal of High Energy Physics, Communications in Mathematical Physics, Letters in Mathematical Physics, Physical Review A, and Journal of Physics A Mathematical and Theoretical, with over 50 citations.