The song was released today and I think these chords are pretty accurate.
Also, I have no way of knowing the lyrics completely so you just have to listen to 
the song to get the rhythms and such to play these chords.
I love the Strokes and I hope someone takes this and covers it on Youtube.

Intro:

B B C#m C#m x2

Verse 1:

B Ebm Abm E

B Ebm [Abm C#m x2] B

Chorus:

Abm C#m->Ebm B F# x4

Interlude:

B B C#m C#m

Verse x1

Chorus x1

Solo:

C#m Ebm C#m B )
              } x2 
B (x2444x@1)name="chord_133111@4">Abm x2      )

Chorus x1

Outro:

B (x2444x@1)