Standard Model and 4-groups

  title={Standard Model and 4-groups},
  author={A Mikovi{\'c} and Marko Vojinovi{\'c}},
  journal={Europhysics Letters},
We show that a categorical generalization of the the Poincaré symmetry which is based on the n-crossed modules becomes natural and simple when n = 3 and that the corresponding 3-form and 4-form gauge fields have to be a Dirac spinor and a Lorentz scalar, respectively. Hence by using a Poincaré 4-group we naturally incorporate fermionic and scalar matter into the corresponding 4-connection. The internal symmetries can be included into the 4-group structure by using a 3-crossed module based on… 
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