Here's the progression played in standard tuning.
If this doesn't match with the song try moving it some 
steps in order to get in tune, but this is basically the
progression.

Zelda
The Antlers
Undersea (EP)


VERSE:

B#m                         A
Zelda, You asked me to wake you
                 G          
If I woke up before you
                  F#m
And you were still stuck inside
            Em                     F#7
I'm here to tell you, "We're not awake yet"


BRIDGE:

B#m | A | G | F#m | Em | F#7 


VERSE:

B#m                       A
Zelda, We live between two worlds
               G
A tunnel with two lights
                F#m      
Pitch black in the middle
            E                  F#7
Like a dream's dream (a copy's copy)


B#m                     A
Zelda, it's just not important
                G  
The small things we suffer
                  F#m
They're infinitesimal
                E                     F#7
We swim in an ocean, it swims between us


OUTRO:

B#m | A | G | F#m | E | F#7

keep playing until fade



Yup, that's it. If I have time later I'll submit bass lines and guitar solos.
Corrections are welcomed.