Conn. Gen. Stat. § 47-289: Rent increases of conversion tenants.

(a) During a transition period, a conversion tenant's rent may not be increased for any reason.

(b) After a transition period ends, the rent of any conversion tenant, including tenants protected under section 47a-23c, may be increased only to the extent such increase is fair and equitable, based on the criteria set forth in section 7-148c. At least sixty days notice of any proposed increase shall be given to a conversion tenant. A rent increase may include the amount of assessment on that dwelling unit for the payment of current common expenses under section 47-257, to the extent not already included in the tenant's rent.

(c) Any converted tenant aggrieved by a rent increase or proposed rent increase may seek the relief available under subdivision (2) of subsection (c) of section 47a-23c.