18–19 Dec 2024
Centre for Particle Theory
Europe/London timezone

Kaluza-Klein theory with fuzzy sphere fibre

19 Dec 2024, 13:30
30m
Ph30 (Centre for Particle Theory)

Ph30

Centre for Particle Theory

Speaker

Chengcheng Liu (Queen Mary University of London)

Description

In the Kaluza-Klein theory with fuzzy sphere fiber, I will show how SU(2) Yang-Mills field and a real-symmetric-matrix valued Liouville-sigma model field arise from the dimensional reduction of Ricci scalar. Moreover, with this noncommutative fiber, we can derive the cylinder ansatz in usual KK theory.

Additionally, the KK tower of scalar and spinor field will obtain the natural truncation without using any approximation. Especially, for 0-radius fuzzy sphere, a massless singlet spinor will become a massive doublet spinor. This could provide new insights into Standard Model.

Primary authors

Chengcheng Liu (Queen Mary University of London) Prof. Shahn Majid (Queen Mary University of London)

Presentation materials