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arXiv · 1706.04183

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

Chris Akers·Venkatesa Chandrasekaran·Stefan Leichenauer·Adam Levine·Arvin Shahbazi Moghaddam
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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 $d\leq 5$, 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.

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Chris Akers, Venkatesa Chandrasekaran, Stefan Leichenauer, Adam Levine, Arvin Shahbazi Moghaddam. 2017-06-13. The Quantum Null Energy Condition, Entanglement Wedge Nesting, and Quantum Focusing. https://doi.org/10.1103/physrevd.101.025011

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