For dressing, in a small bowl whisk together the vinegar, oil, brown sugar, salt, and black pepper; set aside.
In a large plastic bag set in a deep bowl combine chickpeas, white beans, lima beans, carrots, jalapeno or serrano peppers, and cilantro. Pour dressing over bean mixture. Close bag. Marinate in the refrigerator 2 to 24 hours, turning bag occasionally.
Transfer to a serving bowl. Serve with lime wedges, chopped jalapeno, coarse salt, bottled hot pepper sauce, and cilantro sprigs, if desired. Makes 8 servings.