Entanglement negativity, Holography and Black holes

We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the holographic entanglement negativity for bipartite pure and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk pure $AdS_{d+1}$ geometry and $AdS_{d+1}$-Schwarzschild black holes respectively. It is observed that the holographic entanglement negativity characterizes the distillable entanglement for the finite temperature mixed states through the elimination of the thermal contributions. Significantly our examples correctly reproduce universal features of the entanglement negativity for corresponding two dimensional conformal field theories, in higher dimensions.Comment: 32 pages, 3 figures, minor modification

Inflammation is Associated With Subclinical Atherosclerosis

Cardiovascular disease increases with age and menopause. Atherosclerosis directly contributes to cardiovascular disease and subclinical markers of atherosclerosis are noninvasive methods that help to detect early vascular changes. Thus, risk factors associated with markers of subclinical atherosclerosis may be targeted for interventions in individuals at high risk of developing cardiovascular disease. C-Reactive Protein (CRP), a marker of inflammation, has been found to be associated with cardiovascular events in a large number of populations. However, studies examining the association between CRP and markers of subclinical atherosclerosis have been limited. The cross-sectional association between CRP and central arterial stiffness, assessed by carotid-femoral pulse wave velocity (PWV), was tested in a biracial (Caucasian and Black) cohort of 154 women transitioning through menopause within the Study of Women's Health Across the Nation (mean age 50.8 ± 2.6; 44.2% Black). After adjustment for age, systolic blood pressure, ethnicity, study site, waist circumference, diastolic blood pressure, and physical activity, the mean pulse wave velocity increased with increasing CRP tertiles (758.5 cm/s, 784.5 cm/s, 861.7 cm/s; p for trend = .01). Furthermore, the association was stronger in women later in their transition compared to women earlier in their transition (p for interaction = .02). The cross-sectional association between CRP and systemic arterial stiffness, assessed by brachial artery distensibility, was tested in 1069 women of the same cohort (mean age 53.6 ± 2.6 years). After adjustment for confounders, the mean distensibility decreased with increasing tertiles of CRP (p for trend = .001). This pattern was similar in women of different ethnic groups and stages of the menopausal transition. The association between CRP and three year incident peripheral arterial disease (PAD), assessed by the ankle-brachial index (ABI), was tested in a biracial (Caucasian and Black) cohort of 1918 older adults within the Health, Aging, Body, and Composition Study (mean age 73.6±2.9; 40.3% Black). Participants in the top tertile of CRP had an increased odds of developing PAD compared to those in the bottom tertile (OR=1.87, 95% CI= 1.22 to 2.88). Given the high prevalence of cardiovascular disease, finding risk factors associated with early vascular changes in high risk populations is of public health importance

Holographic entanglement negativity for disjoint intervals in AdS3/CFT2AdS_3/CFT_2

We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in $(1+1)$ dimensional conformal field theories ($CFT_{1+1}$) through the $AdS_3/CFT_2$ correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual $CFT_{1+1}$. The construction is utilized to compute the holographic entanglement negativity for such mixed states in $CFT_{1+1}$s dual to bulk pure $AdS_3$ geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check.Comment: 17 pages, 4 figure

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