Standard model and 4–groups / Mikovic; Vojinovic
Si trova su / Altri legami
Copyright © 2021 EPLA.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 the SL(2, C)×K group, so that for K = U(1)×SU(2)×SU(3) we can include the Standard Model into this categorification scheme.
