"captive by" is correct and usable in written English, usually to mean that someone or something has been taken prisoner or enslaved by something else
Example: The queen's army was held captive by their enemies.
But where the original game's nostalgia is captivating, Telltale is held captive by it.
It was long held captive by centre-right economists.
They are rescued, but then held captive by Phoenix's character.
Some are intransigent, or held captive by lobbies.
A cabdriver, played by Jamie Foxx, is held captive by a hit man (Cruise).
Knight was the first taken captive by Castro, in August 2002.
He did not find a job but instead was taken captive by Islamic terrorists.
For eight years she had been held captive by a man called Wolfgang Priklopil.
He was held captive by the Islamic State group, also known as Isis or Isil.
The two-shot thrills and rivets; the audience, held captive by the filmmaker, listens and watches.
You were held captive by an empire and you outlived it".
