What is a Witten diagram?

Question

Recently I heard the terminology of Witten diagram. Studying QFT, I frequently see Feynman diagrams and use them to compute scattering amplitudes, one-loop corrections and so on. In string theory courses I often compute string amplitudes with the extended string theory version of Feyman diagrams.

Can you explain to me what “Witten diagram” means? If possible one example would be helpful.

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Can you explain to me what "Witten diagram" means? If possible one example would be helpful.

Siyi Zhou · Answer

Witten diagram is a diagramatic method to calculate the CFT correlation functions using the bulk information. Say you have a $lambda phi^3 $ interaction in the bulk, you can obtain the $langle mathcal O (mathbf k_1) mathcal O (mathbf k_2) mathcal O (mathbf k_3) rangle$ CFT correlation function by doing a integration in the bulk AdS spacetime.

Answered by Siyi Zhou on May 16, 2021

What is a Witten diagram?

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