Algebraic challenges in the three-Higgs-doublet model

讲座时间 Datetime: 2022年10月25日，星期二，10:00-11:00

地点 Venue：海琴二号A457

主持人 Host：邵国宽

报告人 Speaker: Igor Ivanov

单位 Affiliation:   中山大学物天学院

报告摘要 Abstract:

A major research direction in elementary particle physics is building QFT models which should replace the Standard Model, compute their predictions and test them in experiment. When building such models in a self-consistent manner, physicists often run into challenges of purely mathematical nature. In this talk, I will show two examples of these mathematical challenges which arise in the so-called three-Higgs-doublet model. The first one is the quest for classification of finite symmetry groups available in this model; it has been solved a decade ago with the aid of results from finite group theory. The second problem concerns the necessary and sufficient boundedness-from-below conditions for certain rather simple polynomials. It remains unsolved in the general case, but perhaps some progress can be made with the aid of algebraic-geometric tools.