Anyon vertex gauge transformation ($v_c^{ab}\mapsto u_c^{ab}{v}_c^{ab}$)

A change of the chosen orthonormal basis of every anyon fusion space. In a multiplicity-free theory each basis change is an independent wave phase $u_c^{ab}$. Splitting vertices acquire $u_c^{ab}$ and adjoint fusion vertices acquire its inverse. A scalar diagram is invariant under these choices when its splitting and fusion vertex factors cancel. A closed diagram with independently specified unmatched vertex tensors need not be invariant.