India (or the Asian subcontinent of India) has a long and detailed history of theatre and theatricality. The beginnings of a theatre culture in that region can be traced to the Nāṭya Śāstra (ca. 200 BCE - 200 CE). The Nāṭya Śāstra is a treatise on the conventions of Sanskrit theatre as well as aesthetic theories on effective performance strategies for actors/singers. In particular, this treatise explores acting as Rasa, which is the affect created by the actor as they mix Bhavas (emotions) and described in terms of mixing spices for the creation of flavor in food. The Mahābhāṣya of the 2nd century BCE is a treatise on grammar that contains information on public performance that is sometimes considered as referential of acting techniques. Sorry for the short explanation. This isn't my strongest area of knowledge in theatre history, but I've taught sections on it. Below are a few of the resources I've consulted in that work.

The authoritative source on the history of Indian theatre:

Indian Theatre: Traditions of Performance edited by Richmond, Swann, and Zarrilli (1990)

See also:

Theatre/Theory/Theatre edited by Daniel Gerould (2000), pp. 84-95

Theatre Histories: An Introduction edited by Zarrilli, McConachie, Williams, Sorgenfrei (2006), pp. 126-36