Conn. Gen. Stat. § 54-193c

No person may be prosecuted for any crime or offense resulting from a referral to the Chief State's Attorney by the State Elections Enforcement Commission pursuant to section 9-7a or 9-7b , of any complaint, statement or evidence bearing upon a violation of any provision of chapter 149, 151 to 153, inclusive, 155, 156 or 157 or any other provision of the general statutes pertaining to or relating to any election, primary or referendum, except during the period of time that (1) is prescribed by section 54-193 ; or (2) begins on the date of such referral and ends six months following the date of such referral, whichever period of time ends later.