29.03.2014 Views

Introduction to the AdS/CFT correspondence

Introduction to the AdS/CFT correspondence

Introduction to the AdS/CFT correspondence

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

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?

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!