The play is in reaction to the recent high profile media coverage of the Russian law and calls from campaigners, including Stephen Fry, to boycott the Winter Olympics 2014, which is due to take place in Sochi in Russia.
Critics have said the law, which prohibits providing information about homosexuality to people under the age of 18, could hinder public gay rights event in Russia.
Extracts from the Olympic Charter, press reports and debates around anti-gay propaganda will be included in the piece.
Sochi 2014 will be written by Tess Berry-Hart and directed by Adam Spreadbury-Maher. It will be staged on September 1 and 2.
via The Stage