Summary: We study the duality between string theory on \(\text{AdS}_3 \times S^3\times S^3\) and two-dimensional conformal theories with large \(N=4\) superconformal algebra \(\mathcal A_\gamma\). We discuss configurations of intersecting branes which give rise to such near-horizon geometries. We compute the Kaluza-Klein spectrum and propose that the boundary superconformal theory can be described by a sigma model on a suitable symmetric product space with a particular choice of anti-symmetric two-form.