Corpus ID: 220633611

On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories

@article{Martins2020OnMU,
  title={On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories},
  author={Y. X. Martins and L. F. A. Campos and Rodney Josu'e Biezuner},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary questions to be considered when trying to classify any class of extensions of a fixed Yang-Mills-type theory $S^G$: existence problem, obstruction problem, maximality problem and universality problem. We prove that all these problems admits a purely categorical characterization internal to the category of extensions of $S… Expand
3 Citations

References

SHOWING 1-10 OF 41 REFERENCES
On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories
Topological and geometric obstructions on Einstein–Hilbert–Palatini theories
Geometric Obstructions on Gravity
String theory and noncommutative geometry
Leibniz-Yang-Mills Gauge Theories and the 2-Higgs Mechanism.
On the Unicity of the Homotopy Theory of Higher Categories
Lorentz-Violating Extension of the Standard Model
Quantum Gravity
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