Conn. Gen. Stat. § 46b-49: (Formerly Sec. 46-45). Private hearing.

When it considers it necessary in the interests of justice and the persons involved, the court shall, upon the motion of either party or of counsel for any minor children, direct the hearing of any matter under this chapter and sections 17b-743, 17b-744, 45a-257, 46b-1, 46b-6, 47-14g, 51-348a and 52-362 to be private. The court may exclude all persons except the officers of the court, a court reporter, the parties, their witnesses and their counsel.