Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space

Lowest weight modules, in particular, Verma modules over the N = 1,2 super Schrodinger algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma modules is analyzed via explicitly constructed singular vectors. The classification of the irreducible lowest weight modules is given for both massive and massless representations. A vector field realization of the N = 1, 2 super Schrodinger algebras is also presented.Comment: 19 pages, no figur

Modular Invariance on the Torus and Abelian Chern-Simons Theory

The implementation of modular invariance on the torus as a phase space at the quantum level is discussed in a group-theoretical framework. Unlike the classical case, at the quantum level some restrictions on the parameters of the theory should be imposed to ensure modular invariance. Two cases must be considered, depending on the cohomology class of the symplectic form on the torus. If it is of integer cohomology class $n$, then full modular invariance is achieved at the quantum level only for those wave functions on the torus which are periodic if $n$ is even, or antiperiodic if $n$ is odd. If the symplectic form is of rational cohomology class $\frac{n}{r}$, a similar result holds --the wave functions must be either periodic or antiperiodic on a torus $r$ times larger in both direccions, depending on the parity of $nr$. Application of these results to the Abelian Chern-Simons is discussed.Comment: 24 pages, latex, no figures; title changed; last version published in JM

Intralake heterogeneity of thermal responses to climate change: a study of large northern hemisphere lakes

Lake surface water temperature (LSWT) measurements from various sources illustrate that lakes are warming in response to climate change. Most previous studies of geographical distributions of lake warming have tended to utilize data with limited spatial resolution of LSWTs, including single-point time series. Spatially resolved LSWT time-series are now available from satellite observations and some studies have investigated previously the intra-lake warming patterns in specific lakes (e.g., North American Great Lakes). However, across-lake comparisons of intra-lake warming differences have not yet been investigated at a large, across-continental scale, thus limiting our understanding of how intra-lake warming patterns differ more broadly. In this study, we analyze up to 20 years of satellite data from 19 lakes situated across the Northern Hemisphere, to investigate how LSWT changes vary across different lake surfaces. We find considerable intra-lake variability in warming trends across many lakes. The deepest areas of large lakes are characterized by a later onset of thermal stratification, a shorter stratified warming season and exhibit longer correlation timescales of LSWT anomalies. We show that deep areas of large lakes across the Northern Hemisphere as a result tend to display higher rates of warming of summer LSWT, arising from a greater temporal persistence in deep areas of the temperature anomalies associated with an earlier onset of thermal stratification. Utilization of single-point LSWT trends to represent changes in large lakes therefore suppresses important aspects of lake responses to climate change, whereas spatially resolved LSWT measurements can be exploited to provide more comprehensive understanding

Nonstretch NMO

We describe a new implementation of the normal-moveout (NMO) correction that is routinely applied to common-midpoint (CMP) reflections prior to stacking. The procedure, called nonstretch NMO, automatically avoids the undesirable stretch effects that are present in conventional NMO. Under nonstretch NMO, a significant range of large offsets that normally would be muted in the case of conventional NMO can be kept and used, thereby leading to better stack and velocity determinations. We illustrate the use of nonstretch NMO by applying it to synthetic and real data sets obtained from high-resolution (HR) seismic and ground-penetrating radar (GPR) measurements.69259960

Roles of age, gender and psychological difficulties in adolescent mentalizing

INTRODUCTION: Adolescence is a critical period for the development of mentalizing – the imaginative capacity to understand one's own and others' behaviour in terms of underlying mental states. Yet, factors and mechanisms underlying individual differences in adolescent mentalizing remain poorly understood. This exploratory study examined whether and how a) age and gender and b) psychological difficulties correlate with mentalizing performance in adolescents from the general population. METHODS: 89 adolescents from Geneva, Switzerland (54 females, age 12–17 years) completed a computerized task of mentalizing and a self-report measure of psychopathology. RESULTS: Mentalizing performance improved with age. Males showed lower scores on the mentalizing task and made more hypermentalizing errors than females. The main findings revealed a negative association between mentalizing performance and self-reported attention problems. Post-hoc analyses further demonstrated that self-reported attentional difficulties were particularly associated with weaker scores on items requiring mentalizing about intentions, while self-reported withdrawal/depression symptoms were particularly associated with weaker scores on items requiring mentalizing about emotions and thoughts. CONCLUSION: The present study highlights a negative association between attentional difficulties and mentalizing performance in community adolescents. Moreover, it provides preliminary evidence suggesting that age, gender and psychological difficulties can be distinctively associated with patterns of correct and incorrect mentalizing in community adolescents. Implications for future research and clinical practice are discussed

Attachment and Reflective Functioning in Women With Borderline Personality Disorder

Insecure attachment and impairments in reflective functioning (RF) are thought to play a critical role in borderline personality disorder (BPD). In particular, the mentalization-based model argues that insecure attachment indirectly accounts for increased BPD features, notably via disruption of RF capacities. Although the mediation relationship between attachment, RF, and BPD is supported by previous evidence, it remains to be directly tested in adults with BPD. In the current study, a sample of 55 female adult BPD patients and 105 female healthy controls completed a battery of self-report measures to investigate the interplay between attachment, RF capacities, and BPD clinical status. Overall, the results showed that BPD patients predominantly reported insecure attachment, characterized by negative internal working models of the self as unlovable and unimportant to others, and decreased RF abilities. Our findings further indicated that actual RF capacities mediated the relationships between adult insecure attachment and BPD clinical status

Superfield Formulation for Non-Relativistic Chern-Simons-Matter Theory

We construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking non-relativistic limit from the relativistic Chern-Simons-Matter theory proposed in the literature. As a further application, we give a manifestly supersymmetric derivation of the non-relativistic ABJM theory.Comment: 18 page

Inverse Common-Reflection-Surface

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)The Common-Reflection-Surface (CRS) stack method is a powerful tool to produce high-quality stacked images of multicoverage seismic data. As a result of the CRS stack, not only a stacked section, but also a number of attributes defined at each point of that section, are produced. In this way, one can think of the CRS stack method as a transformation from data space to attribute space. Being a purely kinematic method, the CRS stack lacks amplitude information that can be useful for many purposes. Here we propose to fill this gap by means of a combined use of a zero-offset section (that could be a short-offset or amplitude-corrected stacked section) and common midpoint gather. We present an algorithm for an inverse CRS transformation, namely one that (approximately) transforms the CRS attributes back to data space. First synthetic tests provide satisfying results for the two simple cases of single dipping-plane and single circular reflectors with a homogeneous overburden, and provide estimates of the range of applicability, in both midpoint and offset directions. We further present an application for interpolating missing traces in a near-surface, high-resolution seismic experiment, conducted in the alluvial plain of the river Gave de Pau, near Assat, southern France, showing its ability to build coherent signals, where recording was not available. A somewhat unexpected good feature of the algorithm, is that it seems capable to reconstruct signals even in muted parts of the section.183313921400Research Foundation of the State of Sao Paulo, BrazilConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)WIT ConsortiumConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq