Three same-sex Georgia couples—including the general counsel for AT&T Intellectual Property Corp. and two Atlanta police officers who were legally married out of state—are suing to overturn the state of Georgia’s ban on same-sex marriage and force its public officials to recognize legal same-sex marriages from other jurisdictions.

The Southern regional office of the gay rights group Lambda Legal filed the suit in federal court in Atlanta today, asking a judge to strike down a state statute and an amendment to the Georgia Constitution that limit legal marriages to couples consisting of a man and a woman.