Gauge symmetry breaking with two dimensional sphere as extra dimensions

18 Feb 2025, 17:10
20m
meeting room (Building 3)

meeting room

Building 3

Speaker

Hiroki Ishikawa

Description

In the grand unified theory, the Higgs mechanism is commonly used. However, as an alternative approach, extra dimensions with non-zero curvature can lead to gauge symmetry breaking.

We have constructed a Yang-Mills theory with extra dimensions as two-dimensional sphere(S^2). As a result, the curvature of the extra dimensions and the non-commutative nature of the gauge group lead to a different gauge symmetry breaking process and origin of Higgs from conventional models such as those with S^1 and T^2.

In this talk, we report on the gauge symmetry breaking observed in the Kaluza-Klein expansion of four-dimensional gauge fields.

Presentation materials