Place the sliced carrots and trimmed green beans in the bottom of the slow cooker to form a base layer.
Lay the pork tenderloin on top of the vegetables.
In a small bowl, stir together the tamari, sesame oil, grated ginger, minced garlic, and rice vinegar until combined.
Pour the sauce evenly over the pork and vegetables.
Cover and cook on low for 6 hours until the pork reaches an internal temperature of 145°F and the vegetables are tender.
Remove the pork, let it rest for 5 minutes, then slice it into medallions.
Serve the pork slices over the vegetables and sprinkle sesame seeds on top before eating.