SALT LAKE CITY — Utah took its fight against gay marriage to the U.S. Supreme Court on Tuesday, asking the high court to suspend same-sex unions that became legal when a judge struck down the state’s voter-approved ban.The heavily Mormon state wants the marriages to stop while it appeals a judge’s decision, which said banning gay couples from marrying violates their right to equal treatment under the law.In papers filed Tuesday, the state asked Justice Sonia Sotomayor to overturn a decision that has led to more than 900 gay marriages in Utah. Sotomayor handles emergency requests from Utah and other Rocky Mountain states. She can act by herself or get the rest of the court involved.“Numerous same-sex marriages are now occurring every day in Utah,” Utah lawyers complain in the filing. “Each one is an affront not only to the interests of the state and its citizens in being able to define marriage through ordinary democratic channels, but also to this court’s unique role as final arbiter.”Utah repeatedly stressed that states have the authority to define marriage as between a man and woman. “That states have a powerful interest in controlling the definition of marriage within their borders is indisputable,” Utah said in the filing.