  We study compactifications on Riemann surfaces with punctures of N=(1,0) 6d
SCFTs with a one dimensional tensor branch and no continuous global symmetries.
The effective description of such models on the tensor branch is in terms of
pure gauge theories with decoupled tensor. For generic Riemann surfaces, the
resulting theories in four dimensions are expected to have N=1 supersymmetry.
We compute the anomalies expected from the resulting 4d theories by integrating
the anomaly polynomial of the 6d theory on the Riemann surface. For the cases
with 6d gauge models with gauge groups SU(3) and SO(8) we further propose a
field theory construction for the resulting 4d theories. For the 6d SU(3)
theory, we argue that the theories in four dimensions are quivers with SU(3)
gauge nodes and free chiral fields. The theories one obtains from the 6d SO(8)
gauge theory are quivers with SU(4) gauge groups and chiral fields with R
charge a half. In the last case the theories constructed for general Riemann
surfaces involve gauging of symmetries appearing at strong coupling. The
conformal manifolds of the models are constructed from gauge couplings and
baryonic superpotentials. We support our conjectures by matching the dimensions
of the conformal manifolds with complex structure moduli of the Riemann
surfaces, matching anomalies between six and four dimensions, and checking the
dualities related to different pair of pants decompositions of the surfaces. As
a simple application of the results we conjecture that SU(3) gauge theory with
nine flavors in four dimensions has a duality group acting on the seven
dimensional conformal manifold which is the mapping class group of sphere with
ten marked points.
