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math-ph2021
Infinitesimal gauge transformations induced by Lie algebroid connections, in the context of Yang-Mills-Higgs gauge theory
Simon-Raphael Fischer
There is the notion of action Lie algebroids, containing information about Lie algebras and their actions, which is why it is natural to generalise gauge theories to a formulation…
math-ph2021
Geometry of curved Yang-Mills-Higgs gauge theories
Simon-Raphael Fischer
This is my Ph.D. thesis defended at 31 May 2021, and it is devoted to the study of the geometry of curved Yang-Mills-Higgs gauge theory (CYMH GT), a theory introduced by Alexei Kot…
math-ph2020
Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons
Simon-Raphael Fischer
Alexei Kotov and Thomas Strobl have introduced a covariantized formulation of Yang-Mills-Higgs gauge theories whose main motivation was to replace the Lie algebra with Lie algebroi…