How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?

Motivated by the new theoretical paradigm that views spacetime geometry as emerging from the entanglement of a pre-geometric theory, we investigate the issue of the signature of the presence of horizons and localized matter on the entanglement entropy (EE) S_E for the case of three-dimensional AdS (AdS_3) gravity. We use the holographically dual two-dimensional CFT on the torus and the related modular symmetry in order to treat bulk black holes and conical singularities (sourced by pointlike masses not shielded by horizons) on the same footing. In the regime where boundary tori can be approximated by cylinders we are able to give universal expressions for the EE of black holes and conical singularities. We argue that the presence of horizons/localized matter in the bulk is encoded in the EE in terms of (i) enhancement/reduction of the entanglement of the AdS_3 vacuum, (ii) scaling as area/volume of the leading term of the perturbative expansion of S_E, (iii) exponential/periodic behaviour of S_E, (iv) presence of unaccessible regions in the noncompact/compact dimension of the boundary cylinder. In particular, we show that the reduction effect of matter on the entanglement of the vacuum found by Verlinde for the de Sitter vacuum extends to the AdS_3 vacuumComment: 16 pages, no figure

Nutritional status and access to clean fuels: Evidence from South Asia

Indoor air pollution due to solid fuels is among the ten most important risk factors in global burden of disease leading to respiratory diseases, anaemia, blindness and other disorders. This study examines the correlations between fuel choice and the nutritional status of children. We also explore if factors such as income, kitchen location and education play any role in conditioning fuel choice. Our results suggest that the choice and use of fuel has long lasting effects on the growth and health of children. It is also associated with a higher frequency of respiratory disorders. We find that agricultural households predominantly use unclean fuels.malnutrition, stunting, indoor air pollution, fuel choice, Food Consumption/Nutrition/Food Safety, Food Security and Poverty, Health Economics and Policy, International Development,

Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge

We study the application of our recent holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with a conserved charge. In this context we obtain the holographic entanglement negativity for zero and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk extremal and non extremal charged $AdS_{d+1}$ black holes. Our results conform to quantum information theory expectations and constitute significant consistency checks for our conjecture.Comment: 23 pages and 1 Figur