Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
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9/22<br />
Partition functions. 3.<br />
<br />
<br />
Use Poincare coordinates:<br />
ds 2 ¡dt2 d⃗x 2 d¡1 dz2<br />
z 2<br />
. The boundary<br />
is at z 0. The equation takes <strong>the</strong> form<br />
(after <strong>the</strong> ansatz ϕ e i k¤x f pzq)<br />
f 11 1 ¡ d<br />
z f 1 ¡ pk 2 pmRq 2<br />
q f 0<br />
z 2<br />
What kind of boundary conditions can one<br />
impose?