I will discuss properties of genus 0 correlators, of the recently introduced (2,2) and (0,2) hybrid models of M. Bertolini and R. Plesser. The focus will be in B and B/2 twisted versions of these models and closed string correlators. Mathematically, these models are Landau-Ginzburg models (X,W) where X is a non-compact Calabi-Yau and W a holomorphic function on X satisfying dW^-1(0) is a compact variety. I will present some geometric interpretation of  the aforementioned correlators along with certain analytic properties and conjectures of their structure.