Elections in Delhi, a territory and capital of India are conducted in accordance with the Constitution of India. The Assembly of Delhi creates laws regarding the conduct of local body elections unilaterally while any changes by the state legislature to the conduct of state level elections need to be approved by the Parliament of India. In addition, the state legislature may be dismissed by the Parliament according to Article 356 of the Indian Constitution and President's rule may be imposed.
Main Political Parties
The National Parties:
INC: Indian National Congress
BJP: Bharatiya Janata Party
The Regional Parties:
AAP: Aam Aadmi Party
References
Elections in Delhi Wikipedia(Text) CC BY-SA