Back to Search
Start Over
Bulk matter and the boundary quantum null energy condition
- Source :
- Journal of High Energy Physics, Vol 2018, Iss 8, Pp 1-17 (2018)
- Publication Year :
- 2018
- Publisher :
- SpringerOpen, 2018.
-
Abstract
- Abstract 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.
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2018
- Issue :
- 8
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8058be112d704729be6d70223544d580
- Document Type :
- article
- Full Text :
- https://doi.org/10.1007/JHEP08(2018)162