Cut the potatoes in a fan shape, spread them on a baking tray lined with baking paper and drizzle with oil. Add the thyme sprigs and the pressed garlic cloves and bake in the oven at 180 degrees for about 35 - 45 minutes. Possibly baked with cheese for the last 15 minutes if necessary.
In the meantime, mix the ingredients for the dip in a bowl. Season with salt and pepper and serve with the potatoes.