Actress ELIZABETH OLSEN has sparked rumors of a blossoming romance with model/actor BOYD HOLBROOK after the two were snapped holding hands in Louisiana on Sunday (04Nov12).

The pair shot upcoming drama Very Good Girls together over the summer (12) and now it appears the 23 year old and Holbrook have become more than friends.

According to photographs obtained by JustJared.com, the Martha Marcy May Marlene star and Holbrook were seen sharing lunch and taking a stroll through New Orleans, where both stars are currently filming new projects.

In another image, the actress tenderly touches the back of the 31 year old's neck as he visits her on set.