Yes, there are likely fanfictions out there with such a plot. Fanfiction writers often explore unique and complex relationships between characters. In the context of Loki and Laufey, it could involve Laufey having some sort of need or desire for Loki, perhaps related to Loki's power or his role in Asgardian or Jotunheim politics. This could lead to an interesting story full of drama, power struggles, and family - related issues.
The fanfiction 'Laufey's Legacy: Loki's Childhood' is quite good. It portrays Laufey as a complex figure in Loki's life. It shows the good and the bad aspects of his parenting. Another notable one is 'Baby Loki's World with Laufey' which creates an immersive world for the two characters. It has a great plot that keeps you engaged as it unfolds the story of their relationship.
Searching for fanfics can be a bit of a trial - and - error process. Just because the title contains those elements doesn't mean it's easy to locate. You might have to expand your search terms a bit, like looking for fanfics that involve Loki, Thor, and Laufey in some sort of conflict or difficult situation.
One common theme is family drama. Since Laufey is Loki's father, the act of kidnapping creates a lot of tension within the family dynamic. It's about a father - son relationship gone horribly wrong.
A common plotline could be Loki using the marriage to gain power in Laufey's realm. He might manipulate situations to his advantage while also dealing with his feelings for Laufey. Another could be a story where Laufey is the one who has an ulterior motive for the marriage, like using Loki to get closer to Asgard.
Yes, there are. Some fanfictions depict their rivalry in a very intense way. They might fight over power, territory, or even for the approval of Odin. This can create a lot of drama and action in the story.
One possible plot could be that Laufey, Loki's biological father, decides to use Loki against Thor. He might abuse Loki in some way, either physically or emotionally, to make Loki do his bidding, which could involve causing trouble for Thor. Loki, being in a difficult position, has to deal with his complex feelings for Thor while also trying to escape Laufey's control.
There are several on Archive of Our Own as well. Some explore the psychological aspects of Loki being kidnapped by his own father, Laufey. They often delve into Loki's feelings of betrayal and how he copes with the situation. For example, in a certain fic, Loki uses his wits to try and outsmart Laufey during his captivity.