Start by preparing the vegetables. Dice the onion, chop the bell peppers, slice the carrots, and trim the green beans.
In a large bowl, combine the minced garlic, minced ginger, curry powder, turmeric, cumin, soy sauce, salt, and black pepper.
Cut the chicken breasts into bite-sized pieces and add them to the bowl with the spice mixture. Toss well to coat the chicken evenly with the spices.
Transfer the coated chicken to the crockpot. Add the chopped vegetables and pour in the coconut milk. Stir gently to mix all the ingredients together.
Cover the crockpot and cook on low for 6 hours or on high for 3 hours until the chicken is cooked through and the vegetables are tender.
Once cooked, give the curry a good stir and check the seasoning. Adjust the salt and pepper if necessary.
Serve the curry hot, garnished with fresh cilantro if desired.