$\mathfrak{g}$, there is a one-parameter family of two-dimensional $(0,2)$ SCFTs obtained by compactifying the LS fixed point on $\Sigma_{\mathfrak{g}}$ and turning on a flavor flux for the $U(1)_F$ flavor symmetry with magnitude $\mathfrak{b}$. For $\mathfrak{b}=0$ there is no flavor flux and one has $$\label{c2db=0}
c_{r}({ \mathfrak{b}=0}) = \frac{9}{8}\,\eta_{\Sigma}\,d_G = \frac{16}{3}\,\eta_{\Sigma} \,a_{\rm LS}\;.$$ This is the universal two-dimensional $(0,2)$ fixed point that one can find for any four-dimensional $\mathcal{N}=1$ SCFT compactified on $\Sigma_{\mathfrak{g}}$ [@Benini:2013cda; @BBC]. Since the flavor flux vanishes, this theory has an enhanced global symmetry given by $U(1)_R\times SU(2)_F$. For general values of the flavor flux $\mathfrak{b}$, the two-dimensional IR SCFTs have only $U(1)_R\times U(1)_F$ global symmetry.

One can also show that the family of two-dimensional SCFTs does not have a gravitational anomaly by evaluating the difference between the left and right central charges [@AlvarezGaume:1983ig] $$\label{crmincl}
c_{r}-c_{l} = d_{G}\ds\sum_{\sigma}\big(n_r^{(\sigma)}-n_{\ell}^{(\sigma)}\big) = 0\;.$$ This result can be traced back to the fact that the LS fixed point has no linear ’t Hooft anomaly for the superconformal $R$-symmetry, i.e. $a_{\rm{LS}}=c_{\rm{LS}}$ in .

The central charge, $c_r(\frak b)$, given by is positive for any value of the flux parameter, $\mathfrak{b}$, and the genus of the Riemann surface, $\mathfrak{g}$. This means that unitarity is 