Do we have a final answer about the Brahmin's and Kshatriya's immigration to India?

Hello, I recently got into Indian history. While reading, I see many sources claiming that the Brahmin's and Kshatriya's migrated to India using the Indus valley civilization's infrastructure. However, I see many Indian sources and websites saying that these claims are made up and it never happened. So do we have a definitive answer on whether Hindoos migrated to India along with the Parsis from Iran? If we did migrate to India, which groups specifically did?