TPTK w/ AK on paired board

[Oracle]

Vill is unknown. I'm running 24/21 at the table.

PokerStars No-Limit Hold'em, $0.25 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG ($18.95)
MP ($29.55)
Hero ($37.50)
SB ($44.55)
BB ($18.10)

Preflop: Hero is Button with A[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">UTG raises to $0.75</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $2.25</font>, <font color="#666666">1 fold</font>, BB calls $2, UTG calls $1.50.

Flop: ($6.85) 7[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, UTG checks, <font color="#CC3333">Hero bets $4</font>, BB calls $4, UTG folds.

Turn: ($14.85) Q[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $11.85 (All-In)</font>

[JNuey]

against an unknown here, I think you have to call. I don't expect to see a 7 here, but I'm curious if this call is +EV because of AQ and QQ.

[Imrahil]

How can we ever think about folding this? I expect to see weak aces + FDs a lot here. Probably KQ or QJ of hearts as well.

[dirtylobster]

I'd call against an unknown. Villain is running out of options if he/she has a weaker ace. If the villains stack was deeper I'd consider folding but in this case; call. AQ is possible, also A7 but in most cases you'll take down the pot.