Sylki

Sylki is the Family ship between Loki and Sylvie Laufeydottir from the Marvel Cinematic Universe fandom.

Loki
Sylvie has been killing Minutemen and stealing their reset charges, and the Time Variance Authority doesn't know anything other than that the culprit is a variant of Loki. When Loki is picked up by the TVA in 2012, he's recruited to help track down the variant. Loki figures out that the variant could be hiding throughout time in apocalypses, which the TVA wouldn't notice because the variant's presence wouldn't disrupt the timeline. Loki helps track the variant's location to an apocalyptic event in 2050, and he goes with the team to investigate. Loki and Sylvie first meet in 2050 at Roxxcart, where Sylvie fights him to stall for time. She launches her attack on the timeline and leaves through a Timedoor. Loki has a moment of conflict, with Mobius calling to him and running after him and Sylvie leaving ahead of him, and Loki steps through the Timedoor after Sylvie.

Sylvie has gone to the TVA headquarters to attack the Timekeepers, and Loki follows to try to talk to her, and they fight because he's delaying her. When they're confronted by Ravonna Renslayer and Hunters, Loki opens a Timedoor beneath himself and Sylvie to get away. This drops them onto Lamentus-1 during an apocalyptic event, which Sylvie had saved on the TemPad. The two initially continue to clash, with Sylvie wanting the TemPad back so she can proceed with her plan, but a meteor lands between them and she realizes where they are, so they run to safety. She touches Loki and tries to enchant him, but it won't work because his mind is too strong.

They begin to work together to survive the apocalyptic event and to find a power source to recharge the TemPad. They board a train to an ark, with Loki using a disguise and Sylvie enchanting a guard. On the train, they discuss love, their pasts, and their families. Loki asks Sylvie if she has any romances, but she has not since she's been running to hide in one apocalyptic event after another; Loki has, with both men and women, but nothing was ever "real". They try to define what love is, but Loki takes another drink. Sylvie doesn't remember her mother because it's been a long time, and Loki shares that his mother used to show him magic as a child, and he demonstrates some fireworks in his hand for her. Sylvie falls asleep, she wakes to find Loki has gotten drunk and has the whole train car singing. He shushes the other occupants for a moment and sings softly in Asgardian, directly to Sylvie, before proceeding with the upbeat singing again. This draws too much attention, and the guards are summoned and Loki gets kicked off the train. Sylvie follows because she still needs the TemPad, which Loki has. The TemPad is destroyed in Loki's fall from the train, and Sylvie gets upset. But they come up with a new plan: in the original timeline, the ark doesn't launch, but perhaps their presence could change that if they get aboard. So they set off toward the ark on foot, and work side-by-side in the city to make it to the ark. Before they get aboard, the ark is destroyed.

Quotes
Loki sings to Sylvie in Asgardian in Loki episode 3:

Fanon
Interest is still fairly new, but fans have started to think of Loki and Sylvie as being sibling-like. Some fan commentary shortly after episode 3:
 * "They radiate the long-lost-twin-bickering vibe".
 * "loki and sylvie’s dynamic can only be described as two siblings that were stuck in the car with each other for too long".
 * "loki and sylvie have an amazing (sibling) dynamic going on and half of that is cause sylvie has the same vibes as 2012 thor".
 * "Yes I'm going to call them "Chaos twins" and no you can't stop me."

The ship name "Sylki" came up soon after their meeting in the series, and "Chaos Twins" after episode 3.

Some fans also ship them romantically.

Fandom
FAN FICTION

TUMBLR

Trivia

 * Prior to Sylvie's reveal, an early BBC review got attention for stating: "The ending of episode two is fairly shocking, and will likely result in some of the most perverse fan fiction the internet has ever seen." The ending of episode two is that Sylvie and Loki finally meet and ran off through a Timedoor together. Fans speculated and mocked the prediction, with one fan calling the "normie reviewer" sheltered and saying he should "go on ao3 my dude, live a little". It got enough attention that The Mary Sue covered the fan response.