Strong subadditivity and holography
arXiv:1509.07885 · doi:10.1103/PhysRevD.93.106003
Abstract
We study in detail the relationship between strong subadditivity for a boundary field theory and energy conditions for its bulk dual in 2+1 dimensions. We provide a discussion of known facts and new results organized from the simplest case of a static system with collinear intervals to a time dependent one in a generic configuration, with particular focus on the holographic geometric description.
added one paragraph to explain one of the results, one more citation and a few typos corrected
References in corpus (16)
- A holographic proof of the strong subadditivity of entanglement entropy
- The Holographic Entropy Cone
- On The Entanglement Entropy For Gauge Theories
- Universality of Gravity from Entanglement
- Holographic entanglement entropy and gravitational anomalies
- Tomography from Entanglement
- Notes on Entanglement in Abelian Gauge Theories
- Derivation of the Null Energy Condition
- Anomalies of the Entanglement Entropy in Chiral Theories
- Anomalies and Entanglement Entropy
- Entanglement Entropy & Anomaly Inflow
- Holographic entropy inequalities and gapped phases of matter
- Nonlinear constraints on gravity from entanglement
- On the definition of entanglement entropy in lattice gauge theories
- Inviolable energy conditions from entanglement inequalities
- A perturbative study on the analytic continuation for generalized gravitational entropy