The idea of being abducted is pretty scary for most people, however to some it's a fantasy that tingles their erotic buttons in all sorts of exciting ways. Vice did a story on this, Karley Sciortino one of their reporters from the show "Slutever" which explores many sexual themes, visited Mistress Darcy, one of the most well known dommes offering these types of services, currently operating in New York, whose clients are mostly wealthy men looking for a role reversal, where they aren't the ones in control.
Inside their dungeon Mistress Darcy showcases on Karley her takedown, bondage and choking techniques, surprising Karley on how easily she got restrained and controlled by the experienced Dominatrix.
They proceed to orchestrate an actual abduction of one of her clients who have contractually consented to have that happen. The clients usually give her information about their daily routines, where they work and when etc, leaving Darcy the task to surprise them, "There's many ways of mind fucking someone." she says at some point when Karley asks her about the difficulty of surprising someone who is well aware that they are going to be abducted. Because this is an activity that dangerously flirts with the limits of the law, Darcy meets the client in person to discuss the terms of the abduction, turn-ons, limits and no goes, guaranteeing that no law is being broken and hopefully a satisfied client by the end of his/her session.
What follows is probably the least convincing part of Vice's piece, since it's basically a dramatization of the abduction of a 33 year old male with Vice camera's following them around, a scenario that they try to sell you as real. Nonetheless it's effective at showing you how a thing like this goes, what happens during the abduction and what sort of thing can happen in the dungeon, usually involving fear play, BDSM, sensory deprivation and all kinds of good stuff.
They later discuss the psychology behind this fetish, how the idea of someone desiring them so much to the point of doing something so risky is very appealing to some people, or how it could also simply be all about the prolonged uninterrupted attention that is given to the person on a session of this nature.
If you're interested, check out Vice's full video on this: