Place the chicken breasts in the slow cooker and add the chicken broth, diced tomatoes with green chilies, onion, garlic, corn, cumin, chili powder, salt, and pepper.
Cover and cook on low for 6 to 7 hours or on high for 3 to 4 hours, until the chicken is fully cooked and easy to shred.
Remove the chicken from the slow cooker and shred it with two forks, then return the shredded chicken to the soup.
Stir in the lime juice and chopped cilantro right before serving so the flavors stay bright.
Ladle the soup into bowls and top each serving with tortilla strips.