Conn. Gen. Stat. § 52-1: Administration of legal and equitable rights.

The Superior Court may administer legal and equitable rights and apply legal and equitable remedies in favor of either party in one and the same civil action so that legal and equitable rights of the parties may be enforced and protected in one action. Whenever there is any variance between the rules of equity and the rules of the common law in reference to the same matter, the rules of equity shall prevail.