The four Indian deities mentioned in the crossword solutions are Siva, Shiva, Krishna, Deva, and Rama. Siva is a Hindu god of destruction and transformation, and is often depicted with four arms and a third eye. Shiva is a major deity in Hinduism, and is known as the destroyer and transformer. Krishna is a major deity in Hinduism, and is known for his teachings in the Bhagavad Gita. Deva is a Sanskrit term meaning 'heavenly, divine, anything of excellence', and is used to refer to various gods and goddesses in Hinduism. Lastly, Rama is an avatar of Vishnu, and is the protagonist of the Hindu epic Ramayana.