Heavy Quarks in Strongly Coupled Non-Conformal Plasmas with Anisotropy

We analysis physical observables of heavy quarks in gravity models describing strongly coupled non-conformal plasmas with anisotropy via the gauge/gravity duality. The focus lies on the binding energy of static quark-antiquark $(q\bar q$-)pairs, the maximum distance (screening distance) of a bound $q\bar q$-pair and the drag force on uniformly moving quarks in the hot plasma. In order to discover universal behavior in the observables, the computations are worked out in a two parameter deformation of pure gravity in $AdS_5$ spacetime with a black brane which is assumed to be dual to a respective two parameter deformation of $\mathcal{N}$=\,4 supersymmetric Yang-Mills (SYM) theory at temperature $T$. The deformation is designed to break isotropy and conformal symmetry and is a solution to equations of motion of a gravity action.Comment: 32 pages, 14 figures, v2: references adde

Entanglement entropy through conformal interfaces in the 2D Ising model

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves conformal invariance. Using the replica trick, we compute the entanglement entropy between the two subsystems. We observe that the entropy, just like in the case without defects, shows a logarithmic scaling behavior with respect to the size of the system. Here, the prefactor of the logarithm depends on the strength of the defect encoded in the transmission coefficient. We also comment on the supersymmetric case.Comment: 27 pages, 3 figures, v2: additional references and minor correction

Probing thermality beyond the diagonal

We investigate the off-diagonal sector of eigenstate thermalization using both local and non-local probes in 2-dimensional conformal field theories. A novel analysis of the asymptotics of OPE coefficients via the modular bootstrap is performed to extract the behaviour of the off-diagonal matrix elements. We also probe this sector using semi-classical heavy-light Virasoro blocks. The results demonstrate signatures of thermality and confirms the entropic suppression of the off-diagonal elements as necessitated by the eigenstate thermalization hypothesis.Comment: 27 pages, 2 figure

Amenity Migration and Social Change: Expanding the Concept of Community Attachment and its Relationship to Dimensions of Well-Being in the Rural West

Most sociological analyses of community attachment have focused on the strength of attachment, with little concern for the qualities or attributes of a place to which people become attached. In cases where dimensions of attachment are the focus of analysis, the literature is rather narrowly focused on social dimensions, re ferring most often to connections with family, friends, and other social networks and largely ignoring the realm of natural environment factors. Two primary premises motivated this study. Fi rst, sociological understandi ngs of community attachment wou ld benefit from an expanded analytic framework that incorporates more complex arrays of both social and natural environment dimensions. Second, it is important to understand what variations in attachment may mean for the broader well-being of rural communities. Initial analyses of the data demonstrated four key results. First, factor analysis of fi fleen indicators of attachment produced two distinct dimensions of community attachment, social and natural environment. Second, the nature of the response patterns indicates that strength of natural environment attachment is widely shared amongst a variety of res idents, regardless of length of residence, historical roots to the area, or life cycle. Third, participation in collective action and perceptions of open communication (measures of well-being) within a respondent\u27s community explained only a small portion of the variance in both social and natural environment attachment. Fourth, Structural Equation Modeling demonstrated that there is a causal relationship between attachment and community well-being, though that relationship appeared to be non-recursive. In contrast to much of the previous empirical work on community attachment, this research provides strong evidence of the natural environment dimension and provides justification for further research. This research provides one model to be considered and expanded upon in future research efforts in this area, and supports the need for further attention to the use of multiple dimensions of attachment and their associations with community well-being

Re-evaluation of the Jesse Ewing Canyon Formation : Implications for Neoproterozoic Paleogeography and Tectonic Setting of Northeastern Utah

Detailed analysis of the basal unit of the Uinta Mountain Group, the Jesse Ewing Canyon Formation, of northeastern Utah and northwestern Colorado, expands on previous work by further documenting the character of the unit and proposing a revision of the description of the formation and interpretation. The Jesse Ewing Canyon Formation is -s1 ,000 meters thick as opposed to s225 meters thick, and the dominant lithology is not conglomerate, but rather finer-grained facies. The Jesse Ewing Canyon Formation reveals multiple alluvial fan point sources feeding a shallow body of water in an active rift basin at-781 Ma. Stratigraphic mapping, measured sections, and facies analysis of the Jesse Ewing Canyon Formation have allowed the designation of two members defined by changes in lithology. The coarse-grained Head of Cottonwood member (-0-200 meters thick) represents alluvial fan deposition along the basin bounding faults to the north. The fine-grained Willow Creek member (-150-1,000 meters thick) represents distal alluvial fan, braided stream, fan delta, and nearshore deposition and records the complex interaction of transverse and longitudinal alluvial systems with an intermittent shallow body of water. The stratigraphy and distribution of the two members of the Jesse Ewing Canyon Formation suggest sedimentation along the basin-bounding east-west trending fault system was dominated by alluvial fans that graded laterally into finer sediments basinward. Changes in thickness and (or) lithology across Laramide and younger structures are attributed to synextensional deposition. A crude, overall fining-upward trend within the Willow Creek member suggests alluvial fan retrogradation that was likely controlled by coincident northward transition in fault slip along related structures. Preliminary subdivisions were made within the overlying Uinta Mountain Group based on the presence of a middle shale and conglomeratic unit. The designation of the lower, middle, and upper Uinta Mountain Group establishes a stratigraphic framework for the correlation between the northern and southern margins of Browns Park, and ultimately the eastern and western domes of the Uinta Mountains. Repetition of the lithostratigraphic units in the overlying undifferentiated Uinta Mountain Group may be due to a blind thrust fault as opposed to deposition