@article{Mikovi2020StandardMA,
title={Standard Model and 4-groups},
author={A Mikovi{\'c} and Marko Vojinovi{\'c}},
journal={Europhysics Letters},
year={2020},
volume={133}
}

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… Expand

The higher category theory can be employed to generalize the BF action to the so-called 3BF action, by passing from the notion of a gauge group to the notion of a gauge three-group. In this work we… Expand

Abstract
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Jordan, Wigner and von Neumann classified the possible algebras of quantum mechanical observables, and found they fell into 4 "ordinary" families, plus one remarkable outlier: the exceptional Jordan… Expand

We may not be able to make you love reading, but lie algebras in particle physics from isospin to unified theories frontiers in physics will lead you to love reading starting from now. Book is the… Expand