A spin chain for the symmetric product CFT2

We consider gauge invariant operators in Sym(N) T-4, the symmetric product orbifold of N copies of the 2d supersymmetric sigma model with T-4 target. We discuss a spin chain representation for single-cycle operators and study their two point functions at large N. We perform systematic calculations at the orbifold point (tree level), where non-trivial mixing is already present, and some sample calculations to first order in the blow-up mode of the orbifold (one loop).