Conn. Gen. Stat. § 27-147: Apprehension of deserters by civil officers.

Any civil officer having authority to apprehend offenders under the laws of the United States or of a state, territory, commonwealth, or possession, or the District of Columbia may summarily apprehend a deserter from the state military forces and deliver him into the custody of the state military forces. If an offender is apprehended outside the state, his return to the area must be in accordance with normal extradition procedures or reciprocal agreement.