题 目:Hitchin Vortices
主讲人:NICHOLAS STEPHEN MANTON
单 位:剑桥大学
时 间:10月26日15:00
地 点:蜜桃视频
南阶
摘 要:In Nigel Hitchin's1987 paper "The self-duality equations on a Riemann surface", certain types of vortices appear as special solutions of the equations. They differ somewhat from abelian Higgs vortices, as Hitchin'sequations are conformally invariant and the Higgs field is a 1-form, whereas abelian Higgs vortices on a Riemann surface depend on the metric and have a scalar Higgs field. I will introduce a modified, conformally-invariant version of abelian Higgs vortices which resolves this difference.
简 介:Prof. Nicholas S. Manton is an Emeritus Professor at the University of Cambridge, UK, and is an expert on topological solitons of all kinds. Manton was a postdoc at Ecole NormaleSuperieure(ENS), Paris, France, and at MIT, USA, and at Santa Barbara, USA. Manton was also the Director of Studies in Applied Mathematics at Cambridge Unviersity. Manton is famous for the Manton approximation or the moduli space approximation, which is the low-energy effective description of solitons with zero-modes or moduli, that gives a geometric and mathematical method for studying dynamical or ergodic problems. Manton is also accredited as the inventor of sphalerons, which are saddle point solutions in field theories and are relevant for cosmological considerations, including the creation and annihilation of dark matter particles. Manton is the coauthor of the monograph in mathematical physics "Topological Solitons" from Cambridge University Press and "The Physical World: An Inspirational Tour of Fundamental Physics", and the single author of the text book "Skyrmions- A Theory of Nuclei". Manton has published over 100 papers in Physical Review Letters, Journal of High Energy Physics, Communications in Mathematical Physics, Journal of Physics A: Mathematical and Theoretical, Physical Review D, Physical Review C, Nuclear Physics B and many other journals with over 11,000 citations. The top-cited "sphaleron" paper with Frans Klinkhamerhas over 1800 citations and is published in Physical Review D in 1984.