I have a burnt cable tv wire under the eves of my house. The connection-where the service cable first meets the homes internal cabling-was too hot to touch, had melted the cable jacket and inner conductor insulation, and smelled like burning plastic and smoldering wood. Additionally, as I unscrewed the cable from the female-female adaptor, tiny sparks surrounded the cable-connector connection.
The burnt cable under your carpet was from faulty wiring-a situation which your landlord lied to you about either because he was aware of the problem and could not find the faulty connection, or to prevent lawsuits and/or a good tennant to leave his building. Have an electrician check the wiring. I suspect a fire hazard remains.