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TASI lectures on AdS/CFT

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arxiv 1608.04948 v1 pith:BBOHHSVK submitted 2016-08-17 hep-th

TASI lectures on AdS/CFT

classification hep-th
keywords backgroundboundaryfixedincludingpropertiessomestresstensor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and show that one can define boundary operators that enjoy very similar properties as in a CFT, except for the lack of a stress tensor. Including a dynamical metric in AdS generates a boundary stress tensor and completes the CFT axioms. We also discuss some applications of the bulk geometric intuition to strongly coupled QFT. Finally, we end with a review of the main properties of Mellin amplitudes for CFT correlation functions and their uses in the context of AdS/CFT.

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Cited by 2 Pith papers

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  2. On bulk reconstruction in Lorentzian AdS and its flat space limit

    hep-th 2026-05 unverdicted novelty 5.0

    Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.