![Geometry and analysis of the Yang-Mills-Higgs-Dirac model](https://cmsa.fas.harvard.edu/media/Geometry-and-analysis-of-the-Yang-Mills-Higgs-Dirac-model.png)
New Publication from Enno KeÃler et al.:
![Geometry and analysis of the Yang-Mills-Higgs-Dirac model](/media/Screen-Shot-2019-08-02-at-3.47.23-PM-233x300-1.png)
Title: Geometry and analysis of the Yang-Mills-Higgs-Dirac model
Authors: Jürgen Jost, Enno KeÃler, Ruijun Wu, Miaomiao Zhu
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.