Conn. Gen. Stat. § 14-237: Driving on divided highways.

When any highway has been divided into two roadways by leaving an intervening space or by a physical barrier or clearly indicated dividing section, each vehicle shall be driven only upon the right-hand roadway and no vehicle shall be driven over or across any such dividing space, barrier or section, except through an opening or at a crossover or intersection established by public authority. Violation of any provision of this section shall be an infraction.