Belmont's future and the hopes of the Shinnecock Indian Nation to run a casino there were dealt a new hand on Friday, when Gov. Andrew M. Cuomo announced that his administration's negotiations with the Genting Group, which operates the Resorts World racino at Aqueduct in Queens, had broken down. In exchange for building the state a new convention center, Genting had wanted a zone of exclusivity that would eliminate Belmont, Coney Island and other New York City sites from hosting a casino. With that deal off the table, the Shinnecocks may be the area's best bet. Even if the 2013 referendum to expand gambling in the state fails, they could still get in on the action by exercising their right as a federally recognized tribe to open a full-scale casino on a piece of Belmont land.