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DOE OSTI · 1360732

Looking for a bulk point

Maldacena, Juan·Simmons-Duffin, David·Zhiboedov, Alexander
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Abstract

Here, we consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the bulk. We also argue that certain singularities can arise only from bulk diagrams, not from boundary diagrams. As has been previously observed, these singularities are a clear diagnostic of bulk locality. We analyze some properties of these perturbative singularities and discuss their relation to the OPE and the dimensions of double-trace operators. In the exact nonperturbative theory, we expect no singularity at these locations. Finally, we prove this statement in 1+1 dimensions by CFT methods.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAdS-CFT CorrespondenceClassical Theories of GravityConformal Field TheoryScattering Amplitudes

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Maldacena, Juan, Simmons-Duffin, David, Zhiboedov, Alexander. 2017-01-03. Looking for a bulk point. https://doi.org/10.1007/jhep01(2017)013

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