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We study the effect of non-trivial sound speeds on local-type non-Gaussianityduring multiple-field inflation. To this end, we consider a model ofmultiple-field DBI and use the deltaN formalism to track the super-horizonevolution of perturbations. By adopting a sum separable Hubble parameter wederive analytic expressions for the relevant quantities in the two-field case,valid beyond slow variation. We find that non-trivial sound speeds can, inprinciple, curve the trajectory in such a way that significant local-typenon-Gaussianity is produced. Deviations from slow variation, such as rapidlyvarying sound speeds, enhance this effect. To illustrate our results weconsider two-field inflation in the tip regions of two warped throats and findlarge local-type non-Gaussianity produced towards the end of the inflationaryprocess.

Local non-Gaussianity from rapidly varying sound speeds