I've had this appetizer numerous times at my favorite nearby Turkish restaurant, New Kapadokia. I finally made it myself for a number of guests and it was a big hit. Slightly sweet, slightly spicy, and very flavorful. I served it with high quality hummus and babaganoush, and the red pepper dip was the most popular. Give it a try!
Cut the red bell peppers into large, flat pieces and place under a hot broiler until well blackened. Cool in a plastic bag. While cooling, chop the walnuts, garlic, and bread crumbs, place them in a blender or food processor, and process until finely grouind.
Peel the peppers when cool, and place the peppers, chopped red chillies, olive oil, honey or pomegranate syrup, and lemon juice in the processor and process in short bursts. Transfer to a bowl and stir in the cumin and chili flakes. Season with kosher salt then cover and chill over night to let the flavors mellow. Serve a room temperature with fresh pita or other flat bread.