A. Zee, Quantum Field Theory in a Nutshell · Problem VII.5.1

Field Theory Redux

Physics — QFT

Problem

Write down the charge operator

Q

acting on

\mathbf{5}

, the defining representation

\psi_\mu

. Work out the charge content of the

\mathbf{10} = \psi_{\mu\nu}

and identify the various fields contained therein.