# What is a holomorphic combination of standard model fields?

I am looking at exotic Higgs decay models like SM + Fermion and MSSM. In SM + Fermion the new fermion might have a three body decay and in MSSM for R-parity violating neutralino decays involve holomorphic combinations of SM fermion fields

When I search for what holomorphic means in this case they all redirect me to the mathematical definition. Can somebody explain what this means physically?

The holomorphy of these terms refers to the fact that the superpotential is only a function of the superfield, but not the conjugate superfield. You can write down $LLe^c$, but you cannot write down $L^\dagger L$ in the superpotential. This is because the superpotential is only a holomorphic function of the superfields, and cannot contain the conjugates of any of the superfields. (How to determine which field is chiral and which is anti-chiral is somewhat a matter of convention; we usually define the chiral superfield to be the one to contain the left-handed fermion and the anti-chiral superfield to be the conjugate of this.)