Conn. Gen. Stat. § 45a-499t: Appointment of representative.

(a) If the court determines that an interest is not represented pursuant to sections 45a-499q to 45a-499u, inclusive, or that the otherwise available representation may be inadequate, the court may appoint a guardian ad litem to receive notice, give consent, and otherwise represent, bind and act on behalf of a minor, an incapacitated or unborn individual, or a person whose identity or location is unknown. A guardian ad litem may be appointed to represent several persons or interests.

(b) A guardian ad litem may act on behalf of the individual represented with respect to any matter arising under sections 45a-487j to 45a-487t, inclusive, and 45a-499a to 45a-500s, inclusive, whether or not a judicial proceeding concerning the trust is pending.

(c) In making decisions in any matter, a guardian ad litem may consider the general benefit accruing to the living members of the individual's family.