Place sesame seeds in the food processor and pulse until you don't hear them anymore.
Add the roasted pepper, chickpeas, lime juice, garlic clove, salt, black pepper and cayenne pepper.
Run the food processor until it is pureed and smooth, then stream in the oil until smooth,
Garnish with additional sesame seeds and cayenne if you like, and serve with warm toasted pita bread, lavash, cut into serving pieces or crackers or crudites.