Holographic duals of five-dimensional SCFTs on a Riemann surface

We study the twisted compacti fi cations of fi ve-dimensional Seiberg SCFTs, with SU M (2) ENf+1 avor symmetry, on a generic Riemann surface that preserves four supercharges. The fi ve-dimensional SCFTs are obtained from the decoupling limit of N D4-branes probing a geometry of Nf < 8 D8-branes and an O8-plane. In addition to the R-symmetry, we can also twist the avor symmetry by turning on background ux on the Riemann surface. In particular, in the string theory construction of the fi ve-dimensional SCFTs, the background ux for the SU M (2) has a geometric origin, similar to the topological twist of the R-symmetry. We argue that the resulting low-energy three-dimensional theories describe the dynamics on the world-volume of the N D4-branes wrapped on the Riemann surface in the O8/D8 background. The Riemann surface can be described as a curve in a Calabi-Yau three-fold that is a sum of two line bundles over it. This allows for an explicit construction of AdS 4 solutions in massive IIA supergravity dual to the worldvolume theories, thereby providing strong evidence that the three-dimensional SCFTs exist in the low-energy limit of the compacti fi cation of the fi ve-dimensional SCFTs. We compute observables such as the free energy and the scaling dimensions of operators dual to D2-brane probes; these have non-trivial dependence on the twist parameter for the U(1) in SU M (2). The free energy exhibits the N5=2 scaling that is emblematic of fi ve-dimensional SCFTs.