In a large skillet, heat sesame oil over medium heat. Add broccoli, bell peppers, and shredded carrots. Sauté for about 5-7 minutes until vegetables are tender-crisp. Season with salt and pepper to taste.
While the vegetables are cooking, shred the rotisserie chicken and mix it with the sweet chili sauce in a separate bowl.
Once the vegetables are cooked, reduce the heat to low and add the sweet chili chicken mixture to the skillet. Stir until everything is heated through, about 3-4 minutes.
To serve, place 1/2 cup of cooked brown rice in each bowl. Top with the sweet chili chicken and vegetable mixture.
Garnish with sliced green onions and sesame seeds if desired.