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Internal symmetries in Kaluza-Klein models

João Baptista

Kaluza-Klein models are an old line of research seeking a geometrical unification of the different physical forces. During the 1980s they were largely set aside, due both to specific technical difficulties and to the trend towards superstrings. In this talk I will re-examine two important technical difficulties traditionally imputed to Kaluza-Klein and suggest that, in fact, progress may be possible within a slightly more general geometrical framework. On the physics side, I will talk about mass generation for gauge bosons, chiral fermions, inflation and the very small value of the cosmological constant. On the geometry side, I will talk about scalar curvature in general Riemannian submersions, Diff(K)-gauge theories, unstable Einstein metrics and left-invariant metrics on Lie groups.

2023 October 16, 16:00

Faculdade de Ciências da Universidade de Lisboa (C6.2.33)
Campo Grande, 1749-016 Lisboa

Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia