SCFTs. In Section \[Sec:SUGRAtrunc\] we present the truncation of five-dimensional supergravity, which we use in Section \[Sec:AdS3sol\] to construct the family of supersymmetric $AdS_3\times \Sigma_{\frak{g}}$ vacua dual to the $(0,2)$ SCFTs of interest. In Section \[Sec:HoloRG\] we construct holographic RG flows which interpolate between the gravity dual of the $\mathcal{N}=1$ LS fixed point and the supersymmetric $AdS_3\times \Sigma_{\frak{g}}$ solutions found in Section \[Sec:AdS3sol\]. In addition, we construct holographic RG flows connecting the same $AdS_3\times \Sigma_{\frak{g}}$ vacua and the maximally supersymmetric $AdS_5$ solution. We conclude in Section \[Sec:Conclusions\] with some comments and open questions. In Appendix \[appendixA\] we provide some details on the supergravity truncation used in the paper and in Appendix \[appendixB\] we discuss the correspondence between the Chern-Simons couplings in five- and three-dimensional supergravity and the anomalies for global symmetries in the dual field theory.

Field theory
============

\[Sec:FieldTheory\] It was shown in [@Benini:2012cz; @Benini:2013cda], following the earlier work [@Bershadsky:1995vm; @Maldacena:2000mw], that there is a rich family of $(0,2)$ SCFTs in two dimensions obtained by compactifying $\mathcal{N}=4$ SYM on a Riemann surface and flowing to the IR. It is also well known that there is an interacting four-dimensional $\mathcal{N}=1$ SCFT, known as the LS fixed point [@Leigh:1995ep], which can 