Ephthalites was the name given by Byzantine historians and Hayathelaites by the Persian historian Mirkhond, and sometimes Ye-tai or Hua by Chinese historians. They are also known as the White Huns, different from the Hun who led by Attila invading the Roman Empire. They are described as a kindred steppe people originally occupied the pasture-lands in the Altai mountain of southwestern Mongolia.
At the time when the Hephthalites gained power, Kushan and Gandhara were ruled by the Kidarites, a local dynisty of Hun or Chionites tribe. The Hephthalites entered Kabul and overthrew Kushan. The last Kidarites fled to Gandhara and settled at Peshawar. Around 440 the Hephthalites further took Sogdian (Samarkand) and then Balkh and Bactria.
The Eastward Expansion to the Tarim Basin
To the Chinese, they were the Ye-ti-i-li-do or Yeda, even though the Chinese chroniclers seem to realize that the people called themselves the people of Hua (the similarity to Hun may help explain the origin of "White Hun") and that the Chinese terms came actually from the name of the Hua leader. Like Procopius, contemporary Chinese chroniclers had their own theories about Ephthalite origins. One thought that were related in some way to the Visha (Indo-Europeans known to the Chinese as the "Yueh Chih" (Yuezhi)), another, a branch of the Kao-ch`ê, a third, descendants of the general Pahua, a fourth descendants of Kang Chu and a fifth admits that he cannot make clear their origins at all.
- From the Mafatih al Ulum of Al-Khwarezmi written in 975 AD (H. 365): The Hayatila are a tribe of men who had enjoyed grandeur and possessed the country of Tukharistan; the Turks called Khalukh, or Khalaj, are their descendants.
- From the Kitab al Masalik of Istakhri, written in 933 AD (H. 321): The Khalaj are a kind of Turks who in the days of old came to the country between Hind and the districts of Sijistan (Sakastan/Sistan) behind Ghor. They are catle-breeders of Turkish apperance, dress, language.
As their empire shows, the central focal spot of their empire is the Hindu Kush. Regardless of their origins, by the end of the 6th century AD, there emerges a group of tribes with an Iranian background and language, but not fire worshippers, rather sun worshippers, made up of successive hordes overlaid at the last by a Hunnish conquest, and with a centre of historical attraction towards the Gandhara Valley.
So white Huns are of Decendents of Iranian and Central Asian tribe ,and they are noway connected with Huns of Attila fame. Probably they are just Indian tribe on the periphery in Afghanisthan
Let us see other Huns
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