What is the definition of Aryan empire?

The term "Aryan empire" is often used to refer to the ancient Indo-Iranian peoples who migrated into the Indian subcontinent and Iran, establishing various kingdoms and cultures. However, it is essential to clarify that the concept of an "Aryan empire" can be misleading, as it is sometimes associated with outdated and discredited racial theories. In historical contexts, it may refer to the Vedic civilization in India or the early Iranian empires, but the notion is not universally accepted or defined in scholarly discourse.