updated 06/10/2013 AT 2:00 PM ET
•originally published 06/10/2013 AT 6:00 PM ET
Some appearances – sweet as they may be – can be deceiving.
After a cozy photograph of Ellen Page and her The East costar Alexander Skarsgard made the rounds on social media over the weekend – Tweeted out by the film’s director, Zal Batmanglij, no less – speculation ramped up that the two were an item off-screen.
But, a source tells PEOPLE, the costars are just friends. And it isn’t even clear how long ago the picture was taken.
The actress, however, liked it enough to re-Tweet: the photo shows the two dressed in matching denim outfits with Skarsgard’s arm around Page, who seems to be lying in his lap. “Canadian tuxedo party,” she wrote, referencing their denim on denim ensembles.
Perhaps it’s all in good fun – or simply part of the promotional plan for the indie thriller, which has played at various film festivals and is in limited release in the U.S. currently.
Skarsgard and Page have indeed been spotted – seemingly on friendly terms – together at Los Angeles International Airport and on red carpets promoting their movie.