What is meant by the term gauge singlet ?

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The term "gauge singlet" refers to fields that remain invariant under specific symmetry transformations, crucial for maintaining gauge invariance in theories such as the Wess-Zumino Lagrangian. In the context of supersymmetry (SUSY), fields like left-handed chiral superfields must be gauge singlets to ensure the superpotential remains invariant. Examples include the neutrino as a U(1) electric charge singlet, the electron as an SU(3) color singlet, and the Higgs boson as a Lorentz SO(3,1) singlet, indicating their neutrality under respective symmetries.

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What is meant by the term "gauge singlet"?

Can anybody please explain what is meant by the term "gauge singlet"?
To be more specific, I got the term in a discussion on wess-zumino lagrangian where the superpotential contains the term:a_i \phi_i. The author claims that in order the theory to be gauge invariant and invariant under susy, the fields present in this term must be gauge singlets. I do not understand this at all. (The fields mentioned are left handed chiral superfields.)
 
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Singlet means that something is inaffacted by a certain symmetry transformation.

Examples:

The neutrino is a U(1) - electric charge singlet.

The electron is a SU(3) - color singlet

The Higgs boson is a Lorentz: SO(3,1) - singlet (scalar particle)
 
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In other worlds, "neutral"; zero charge.
 

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