Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
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3/22<br />
The <strong>AdS</strong> space<br />
<br />
<br />
<br />
<br />
A non-compact manifold with constant<br />
negative curvature and Lorentzian signature<br />
Can be viewed as a quotient space (coset)<br />
<strong>AdS</strong> D 1 SOp2,Dq<br />
SOp1,Dq<br />
For <strong>the</strong> moment let us set D 2 and<br />
consider <strong>AdS</strong> 3<br />
The simplest model: a hyperboloid<br />
¡Y 2 ¡1 ¡ Y 2<br />
0 Y 2<br />
1 Y 2<br />
2 ¡R2 inside R 2,2 :<br />
ds 2 ¡dY¡1 2 ¡ dY 0 2 dY 1 2 dY 2<br />
2
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