In the bowl of a crock pot combine the coconut milk, brown sugar, soy sauce, chili paste, and fish sauce (if you're using it). To that add the onion, garlic, ginger, bell peppers, eggplant, sweet potatoes, and chicken. Turn the crock pot on to high heat, cover it, and let the curry stew for about 4 hours or until the chicken is cooked through.
Serve the curry with prepared rice and garnish with lime wedges, scallions, cilantro, and basil.