Non-Gaussianity in rapid-turn multi-field inflation

We show that theories of inflation with multiple, rapidly turning fields can generate large amounts of non-Gaussianity. We consider a general theory with two fields, an arbitrary field -space metric, and a potential that supports sustained, rapidly turning field trajectories. Our analysis accounts for non -zero field cross -correlation and does not fix the power spectra of curvature and isocurvature perturbations to be equal at horizon crossing. Using the SN formalism, we derive a novel, analytical formula for bispectrum generated from multi -field mixing on super -horizon scales. Rapid -turn inflation can produce a bispectrum with several potentially large contributions that are not necessarily of the local shape. We exemplify the applicability of our formula with a fully explicit model and show that the new contributions indeed can generate a large amplitude of local non-Gaussianity, floc NL similar to O(1). These results will be important when interpreting the outcomes of future observations.