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.
Original language | English |
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Article number | 104669 |
Journal | Journal of Geometry and Physics |
Volume | 182 |
DOIs | |
Publication status | Published - Dec 2022 |
Externally published | Yes |
Keywords
- Energy identity
- Harmonic sections
- Kaluza–Klein geometry
- Regularity
- Super Yang–Mills