Solitons and Resonances in
ASD Yang-Mills theory
报告专家：Masashi Hamanaka（名古屋大学）
报告时间：9月8日（周一）下午2:30-3:30
报告地点：国家天元数学西南中心516
报告摘要：
Anti-self-dual Yang-Mills (ASDYM) equations are parts of fundamental law of nature and play important roles in quantum field theory and geometry. The ASDYM eq. is an equation of motion of the 4-dimensional Wess-Zumino-Witten (4dWZW) model which describes a
space-time action of N=2 open string theories. Hence the solutions of the ASDYM eqs can be classical physical objects of the string theories.
In this talk, we construct soliton solutions of ASDYM eqs. in terms of quasi-Grammians related to a binary Darboux technique. In order to capture solitonic behaviors, we analyze 4dWZW action density of the soliton solutions. The results show that our solitons behave like KP solitons of codimension one. KP solitons have classified in terms of non-negative Grassmannians by Yuji Kodama et al. where the building blocks are Y-shape solitons. We examine large phase-shift limits of the two soliton solutions and find that there appear not Y-shape but V-shape solitons. This is based on collaboration with Shan-Chi Huang and Hiroaki Kanno (Nagoya) and Shangshuai Li and Da-Jun Zhang (Shanghai). [arXiv: 2212.11800, 2501.08250].
专家简介：
Masashi Hamanaka，本科、硕士和博士毕业于日本东京大学物理系。曾受日本学术振兴会资助在东京大学物理所从事博士后研究工作，目前是名古屋大学终身副教授，曾先后在牛津大学和Glasgow大学进行长期访问。Hamanaka教授研究兴趣广泛，涵盖基本粒子物理学，数学物理，孤子，瞬子，可积系统，场论，弦理论和非交换几何等，其在JHEP, Nuclear Physics B, JPA, Physics Review D, PLB, Proc. R. Soc. A等高水平杂志上发表多篇学术论文。
邀请人：李世豪
