be obtained by integrating out one of the three adjoint chiral superfields in $\mathcal{N}=4$ SYM. The goal of this section is to provide some evidence that, when the LS fixed point is put on $\mathbb{R}^{1,1}\times \Sigma_{\mathfrak{g}}$ with a partial topological twist, the effective two-dimensional theories in the IR are a family of $(0,2)$ SCFTs similar to the ones studied in [@Benini:2012cz; @Benini:2013cda]. We will argue in favor of the existence of these fixed points using ’t Hooft anomaly matching together with $c$-extremization [@Benini:2012cz; @Benini:2013cda].

Anomalies {#subsec:ANSYM}
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Recall that $\cN=4$ SYM can be viewed as an $\mathcal{N}=1$ theory of a vector multiplet with gauge field $A_{\mu}$ and gaugino $\lambda$, coupled to three adjoint chiral multiplets, $\Phi_i$, each containing a complex scalar, $\phi_i$, as its lowest component and a complex fermion, $\chi_i$. The $\cN=1$ superpotential reads $$W = \Tr \Phi_1\Phi_2\Phi_3\;.$$ In this formulation only an $SU(3)\times U(1)_R^{\mathcal{N}=4}$ subgroup of the $SO(6)\simeq SU(4)$ -symmetry of the $\mathcal{N}=4$ theory is manifest. The $U(1)_R^{\mathcal{N}=4}$ is the superconformal -symmetry generated by $$\label{TRN=4}
T_R^{\mathcal{N}=4} = \frac{2}{3}\left(T_1+T_2+T_3\right)\;,$$ where the three $T_i$’s are the generators of the Cartan subalgebra of $SO(6)$ given by the three diagonal $SO(2)_i$’s. The charges of the four adjoint fermions with respect to those 