In a small bowl, mix together the sour cream, lime peel and lime juice.
In a separate bowl, mix together the slaw ingredients. Chill both the sauce and the slaw until serving.
To make the sliders, cut each chicken breast in half widthwise then flatten to 1/2-in. thickness.
Mix together the cumin, chili powder, salt, and ground black pepper. Sprinkle each breast on both sides with seasonings.
Place chicken on a prepared gas or charcoal grill. Grill for 6-7 minutes per side until the internal temperature reaches 180 degrees and the center of the chicken is no longer pink.
Place roll cut side down on the grill for 30-60 seconds until lightly toasted.
To assemble the sliders, place a small amount of lettuce and a tomato on each roll. Top with a chicken breast, cole slaw mix, then drizzle the top with the sauce.