In kolkata, only the course of PhD in Fine Arts course is offered by the Government College of Art and Craft, Kolkata . Apart from this there are not much of the college which offers the Visual Arts PhD in India itself. You can check the colleges offering the different branches of Arts in different universities all over India by clicking on the link below:

https://university.careers360.com/colleges/list-of-phd-in-fine-arts-universities-in-india

I hope this helps. Wish you a great eve!