Supercoherent States, Group-Geometrical Realizations and Simplest Supergroups

CIRILO, DIEGO JULIO

Novosibirsk

Workshop; Dynamics in Siberia; 2021

Sobolev Institute of Mathematics of Russian Academy of Sciences

Explicit construction of supercoherent states (SCS) of the Klauder–Perelomov type which were used as structural basis of the electroweak sector of the standard model (SM) in Arbuzov and Cirilo-Lombardo (Phys Scr 94:125302, 2019) is presented taking into account the geometry of the coset based in the simplest supergroup SU(2∣1) : the technical details is the focus of this work. The constructed coherent superstates uses group representation from Neíeman (Phys Rept 406:303–377, 2005) for a beyond SM, however not only the even part of the supergroup works as the embedding for the electroweak sector of SM, but the supercoherent states into the model are capable to introduce a hidden sector.