$\phantom{-}{1\over 2}$ & $\phantom{-}{1\over 2}$ & $\phantom{-}1$ & $\phantom{-}1$\
$\chi_1$ & $-{1\over 2}$ & $-{1\over 2}$ & $\phantom{-}{1\over 2}$ & $-{1\over 3}$ & $\phantom{-}*$\
$\chi_2$ & $-{1\over 2}$ & $\phantom{-}{1\over 2}$ & $-{1\over 2}$ & $-{1\over 3}$ & $-{1\over 2}$\
$\chi_3$ & $\phantom{-}{1\over 2}$ & $-{1\over 2}$ & $-{1\over 2}$ & $-{1\over 3}$ & $-{1\over 2}$\

The LS fixed point [@Leigh:1995ep] is a strongly coupled $\mathcal{N}=1$ SCFT that can be thought of as the IR fixed point of an RG flow obtained by deforming $\mathcal{N}=4$ SYM with a particular relevant deformation of the superpotential $$\label{LSsuperpot}
\Delta W =\frac{m}{2}\,\Tr \Phi_1^2\;.$$ Under the RG flow, the superfield $\Phi_1$ is integrated out and the IR fixed point theory has the superconformal -symmetry given by[^2] $$\label{TRLS}
T_R^{\rm LS} = \frac{1}{2}\left(T_1+T_2+2\,T_3\right)\;.$$ The charges of the three remaining fermions under this -symmetry are given in Table \[table:one\]. The charges of the two complex scalars, $\phi_{2}$ and $\phi_3$, in the two remaining adjoint chiral multiplets of the LS fixed point under $U(1)_R$ are the same and equal to $1/2$. In addition, there is an $SU(2)_F$ flavor symmetry which acts on the two chiral superfields $\Phi_{2}$ and $\Phi_3$ [@Leigh:1995ep]. This $SU(2)_F$ is the $SU(2)_{\ell}$ factor in the decomposition 