Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
Introduction to the AdS/CFT correspondence
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Partition functions. 2.<br />
<br />
<br />
Imagine a scalar field ϕ in <strong>the</strong> bulk of <strong>AdS</strong><br />
with <strong>the</strong> action<br />
S <br />
»<br />
d 5 y ? ¡g p∇ϕq 2<br />
m 2 ϕ 2¨ obeying<br />
a wave equation ¡△ϕ m 2 ϕ 0, where<br />
△ ? 1<br />
¡g<br />
B µ p ? ¡g g µν B ν ¤q is <strong>the</strong> Laplacian.<br />
We want <strong>to</strong> solve it with a prescribed<br />
boundary value ϕ| boundary<br />
ϕ 0<br />
8/22
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