28 March 2008 Molecular Star-formation Rate Indicators in Galaxies Desika Narayanan (CfA) We derive a physical model for the observed relations between star formation rate (SFR) and molecular line (CO and HCN) emission in galaxies, and show how these observed relations are reflective of the underlying star formation law. We do this by combining 3D non-LTE radiative transfer calculations with hydrodynamic simulations of isolated disk galaxies and galaxy mergers. We demonstrate that the observed SFR-molecular line relations are not necessarily representative of a more direct tracer of the SFR. Rather, they are driven by the relationship between molecular line emission and gas density, and anchored by the index of the underlying Schmidt law. Our model for SFR-molecular line relations quantitatively reproduces the slopes of the observed SFR-CO (J=1-0), CO (J=3-2) and HCN (J=1-0) relations when a Schmidt law with index of ~1.5 describes the SFR. We use these results to make imminently testable predictions for the SFR-molecular line relations of unobserved transitions.