Hey aspirant, there are variety of colleges that provide you opportunity for phd. The  top universities offering phd are
1) jamia millia islamia
2) Indra Gandhi national open university, Delhi
3) jawaharlal Nehru university Delhi
4) university of Delhi
5) university of Hyderabad
6) lovely professional university
7) presidency college kolkata
For more information check below link

https://university.careers360.com/colleges/list-of-phd-in-political-science-universities-in-india