Conn. Gen. Stat. § 27-60: Limited liability and immunity from arrest.

If any person or persons, resisting the laws of the state or unlawfully or riotously assembled, are injured or killed by any member of the armed forces of the state called out for service in such cases, each member of the armed forces of the state so called out shall be discharged from all civil or criminal liability therefor. All active members of the armed forces of the state shall, except for treason, felony and breach of the peace, be privileged from arrest and imprisonment by civil authority while under orders in the active service of the state, from the date of the issuing of such orders to the time when such service ceases.