  Compactifications of 6D superconformal field theories (SCFTs) on
four-manifolds generate a large class of novel 2d quantum field theories. We
consider in detail the case of the rank one simple non-Higgsable cluster 6D
SCFTs. On the tensor branch of these theories, the gauge group is simple and
there are no matter fields. For compactifications on suitably chosen Kahler
surfaces, we present evidence that this provides a method to realize 2d SCFTs
with N = (0,2) supersymmetry. In particular, we find that reduction on the
tensor branch of the 6D SCFT yields a description of the same 2d fixed point
that is described in the UV by a gauged linear sigma model (GLSM) in which the
parameters are promoted to dynamical fields, that is, a "dynamic GLSM" (DGLSM).
Consistency of the model requires the DGLSM to be coupled to additional
non-Lagrangian sectors obtained from reduction of the anti-chiral two-form of
the 6D theory. These extra sectors include both chiral and anti-chiral
currents, as well as spacetime filling non-critical strings of the 6D theory.
For each candidate 2d SCFT, we also extract the left- and right-moving central
charges in terms of data of the 6D SCFT and the compactification manifold.
