Conn. Gen. Stat. § 4-2a: Fingerprinting and criminal history records checks of appointees and nominees.

(a) For the purposes of this section, “appointee or nominee” means a person appointed or nominated as a department head, as defined in section 4-5, or as Chief Justice or a judge of the Supreme Court, Appellate Court or Superior Court.

(b) The Governor may, subject to the provisions of this chapter or chapter 16, as applicable, require each appointee or nominee to be fingerprinted and submit to state and national criminal history records checks conducted in accordance with section 29-17a.