English

The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing

High Energy Physics - Theory 2020-01-29 v1 General Relativity and Quantum Cosmology

Abstract

We study the consequences of Entanglement Wedge Nesting for CFTs with holographic duals. The CFT is formulated on an arbitrary curved background, and we include the effects of curvature-squared couplings in the bulk. In this setup we find necessary and sufficient conditions for Entanglement Wedge Nesting to imply the Quantum Null Energy Condition in d5d\leq 5, extending its earlier holographic proofs. We also show that the Quantum Focusing Conjecture yields the Quantum Null Energy Condition as its nongravitational limit under these same conditions.

Cite

@article{arxiv.1706.04183,
  title  = {The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing},
  author = {Chris Akers and Venkatesa Chandrasekaran and Stefan Leichenauer and Adam Levine and Arvin Shahbazi Moghaddam},
  journal= {arXiv preprint arXiv:1706.04183},
  year   = {2020}
}

Comments

20+12 pages, 1 figure

R2 v1 2026-06-22T20:17:50.910Z