4.4 Article

Bulk matter and the boundary quantum null energy condition

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -

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SPRINGER
DOI: 10.1007/JHEP08(2018)162

关键词

AdS-CFT Correspondence; Conformal Field Theory; 1/N Expansion

资金

  1. DARPA, YFA [D15AP00108]
  2. Simons Collaboration Grant on the Non-Perturbative Bootstrap

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We investigate the quantum null energy condition (QNEC) in holographic CFTs, focusing on half-spaces and particular classes of states. We present direct, and in certain cases nonperturbative, calculations for both the diagonal and off-diagonal variational derivatives of entanglement entropy. In d >= 3, we find that the QNEC is saturated. We compute relations between the off-diagonal variation of entanglement, boundary relative entropy, and the bulk stress tensor. Strong subadditivity then leads to energy conditions in the bulk. In d = 2, we find that the QNEC is in general not saturated when the Ryu-Takayanagi surface intersects bulk matter. Moreover, when bulk matter is present the QNEC can imply new bulk energy conditions. For a simple class of states, we derive an example that is stronger than the bulk averaged null energy condition and reduces to it in certain limits.

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