Cook the pasta in a large saucepan of salted boiling water according to the packet instructions until al dente. Drain, reserving 4 tablespoons of the cooking water, and return the pasta to the pan.
Meanwhile, heat the 2 oils together in a frying pan over a medium heat, add the garlic, ginger, chillies and lime rind and cook, stirring, for 30 seconds, or until the garlic starts to release its aroma. Whisk in the reserved pasta cooking water and bring to the boil.
Stir into the pasta with the herbs and lime juice, and toss over the heat for a few seconds until heated through. Season with salt and pepper and serve immediately.