In a large stockpot, add chicken stock and heat over medium heat. Add chicken breasts, cumin, chili powder, and cayenne pepper. Simmer about 20-25 minutes until chicken is cooked through. Remove chicken and set aside. Add tomatoes, jalapenos, bell pepper, onion, and garlic to the pot. Simmer about 30 minutes, covered until tomatoes have begun to break down. Add black beans, corn, and tomato paste and stir to incorporate. Add cheddar cheese and half of the pepperjack cheese and stir to melt. Return chicken to soup and cook for a couple more minutes until desired you reach your desired consistency.