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arXiv · 1908.00430

Geometric analysis of the Yang-Mills-Higgs-Dirac model

Jürgen Jost·Enno Keßler·Ruijun Wu·Miaomiao Zhu
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Abstract

The harmonic sections of the Kaluza-Klein model can be seen as a variant of harmonic maps with additional gauge symmetry. Geometrically, they are realized as sections of a fiber bundle associated to a principal bundle with a connection. In this paper, we investigate geometric and analytic aspects of a model that combines the Kaluza-Klein model with the Yang-Mills action and a Dirac action for twisted spinors. In dimension two we show that weak solutions of the Euler-Lagrange system are smooth. For a sequence of approximate solutions on surfaces with uniformly bounded energies we obtain compactness modulo bubbles, namely, energy identities and the no-neck property hold.

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Jürgen Jost, Enno Keßler, Ruijun Wu, Miaomiao Zhu. 2019-08-01. Geometric analysis of the Yang-Mills-Higgs-Dirac model. https://doi.org/10.1016/j.geomphys.2022.104669

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