Help -- Writing Lagrangian in different Representations

1. Oct 12, 2014

Karatechop250

Okay, so I am trying to understand on how to write Lagrangian in different representations. I know the formula of the SU(3) lagrangian in terms of the 3 and 3* rep. Now presume I have a model in the SU(3) 10 plet rep which includes exotic fermions not in the SM. How would I write out the lagrangian for this new model ? Does anyone know of any sources on writing lagrangians in different representations.

2. Oct 17, 2014

Greg Bernhardt

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?

3. Jan 6, 2015

samalkhaiat

What are these fermions?
$$\mathcal{ L } = i \bar{ [ 10 ] } \gamma^{ \mu } \partial_{ \mu } [ 10 ]$$