Justices Dilip B Bhosale, Pradip Kumar Mohanty, Abhilasha Kumari and Ajay Kumar Tripathi have been appointed as judicial members in the anti-corruption ombudsman.
It has also sought a status report from the state government on 183 "police encounters" that have taken place since 2017.
India has constituted a high-level inquiry committee to probe allegations relating to a conspiracy to kill a Sikh extremist on American soil.