Are they back together again?

Katy Perry shared a photo on Instagram embracing a man presumed to be her ex-boyfriend John Mayer on the Fourth of July. While their backs were facing the camera, both stars wore patriotic attire in celebration of Independence Day.

"Whose broad stripes & bright stars," she captioned the photo.

Mayer was in Philadelphia performing at the free Fourth of July Jam and Perry may have accompanied him on the trip. Mayer, 35, on Friday performed at the Today show in New York City during its summer concert series.

While Mayer didn't mention anything about Perry during his morning show interview, he did talk about his performed track Paper Doll. When asked if the song was written for anyone, Mayer didn't deny or confirm the speculation.

"Songwriters write songs because of people, about people," he said. "Anything someone else wrote is their reception of a song, I don't get involved in it, it's none of my business."

Some of song's lyrics include, "You're like twenty-two girls in one and none of them know what they're running from. Was it just too far to fall, for a little paper doll?"

Mayer and Perry began seeing each other in August 2012 after the Part of Me singer divorced comedian/actor Russell Brand earlier in the year. They were also allegedly spotted together on Memorial Day 2013.

Perry, 28, told Vogue in the July 2013 issue that although she is no longer with Mayer, she still finds herself "madly in love with him."

"All I can say about that relationship is that he's got a beautiful mind," she said. "Beautiful mind, tortured soul. I do have to figure out why I am attracted to these broken birds."

Rumors began circulating that Perry is dating actor Robert Pattinson after they were spotted watching a wedding rehearsal in California in May.

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Katy Perry, John Mayer