Robert Pattinson & Kristen Stewart -- Even Hipsters Chase After Us!

Coachella Music Festival concert goers are too cool for school ... except when it comes to Edward Cullen and Bella Swan.

While at the annual hipster fest in the California desert this weekend, Robert Pattinson and Kristen Stewart tried to blend in with their fellow American Apparel clad music lovers ... but got chased down by a secret legion of closet "Twilight" fans.

Spending over $350 to melt in the sweltering heat for three days can cause people to do some really crazy things.