lower-dimensional SCFTs. In addition, one is led to various relations between correlations functions in the SCFTs and a topological field theory on the compactification manifold.

In view of this rich structure, it is natural to extend these ideas to two-dimensional SCFTs. One possible approach is to study twisted compactifications of the six-dimensional $(2,0)$ theory on four-manifolds preserving at least $(0,2)$ supersymmetry in the two remaining directions. This has been attempted in [@Benini:2013cda; @Gadde:2013sca; @Gadde:2013lxa] but, due to the small amount of supersymmetry, the complicated geometry of four-manifolds, and the limited understanding of the $(2,0)$ theory, there have been only a few quantitative results. A simpler and potentially more fruitful strategy to get a handle on $(0,2)$ SCFTs is to study twisted compactifications of four-dimensional supersymmetric theories on a Riemann surface. This idea has been explored to some extent for four-dimensional $\mathcal{N}=4$ SYM in [@Bershadsky:1995vm; @Maldacena:2000mw], where some particular SCFTs with $(4,4)$ and $(2,2)$ supersymmetry were studied. Recently, there has been an extension of these constructions to theories with $(0,2)$ supersymmetry obtained either from $\mathcal{N}=4$ SYM [@Benini:2013cda; @Benini:2012cz; @Almuhairi:2011ws; @Donos:2011pn], or various $\mathcal{N}=1$ theories in four dimensions [@BBC; @Kutasov:2013ffl; @Kutasov:2014hha]. The goal of this paper is to enlarge further the class 