Implications of an arithmetical symmetry of the commutant for modular invariants

We point out the existence of an arithmetical symmetry for the commutant of the modular matrices S and T. This symmetry holds for all affine simple Lie algebras at all levels and implies the equality of certain coefficients in any modular invariant. Particularizing to SU(3)_k, we classify the modular invariant partition functions when k+3 is an integer coprime with 6 and when it is a power of either 2 or 3. Our results imply that no detailed knowledge of the commutant is needed to undertake a classification of all modular invariants.Comment: 17 pages, plain TeX, DIAS-STP-92-2

Health Literacy and Patient Reported Outcomes in Orthopaedic Surgery Patients

Background: Health literacy may be an important factor in patient health outcomes, however, prior research has primarily focused on primary care patients with research in orthopaedic specific populations lacking. Questions/purposes: The purpose of this study was to examine the relationship between health literacy and patient reported outcomes in an orthopaedic patient population. Patients and Methods: 183 patients \u3e18 years of age who presented to our institution’s sports orthopaedic surgery clinic with shoulder or knee complaints were analyzed. The primary outcomes were physical function recorded using Patient-Reported Outcomes Measurement Information System (PROMIS) physical function and Single Assessment Numerical Evaluation (SANE) scores. Health literacy was determined utilizing Health LiTT, a self-administered multimedia touchscreen test based on item response theory that provides a numerical score of 0-100 with a score \u3e50 suggestive of health literacy. In addition, demographic data including age, race, gender, highest level of education, injury location, and surgery status were collected. Results: Bivariate analysis revealed that low health literacy (Health LiTT score Conclusions: Our data showed that PROMIS scores are less reliant on health literacy and more dependent on age, employment status, having surgery and low education level achieved. Adaptations to clinical practice may be necessary to better guide these select populations and improve patient-reported physical function. Furthermore, PROMIS measures can be administered successfully to patients regardless of health literacy. Level of Evidence: Level I

The Ophthalmic Experience: Unanticipated Primary Findings in the Era of Next Generation Sequencing

Next generation sequencing (NGS) technology, with the ability to sequence many genomic regions at once, can provide clinicians with increased information, in the form of more mutations detected. Discussions on broad testing technology have largely been focused on incidental findings, or unanticipated results related to diseases beyond the primary indication for testing. By examining multiple genes that could be responsible for the patient’s presentation, however, there is also the possibility of unexpected results that are related to the reason genetic testing was ordered. We present a case study where multiple potentially causative mutations were detected using NGS technology. This case raises questions of scientific uncertainty, and has important implications for medical management and secondary studies. Clinicians and genetic counselors should be aware of the potential for increased information to affect one’s understanding of genetic risk, and the pre‐ and post‐testing counseling process.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/147171/1/jgc40588.pd

On parity functions in conformal field theories

We examine general aspects of parity functions arising in rational conformal field theories, as a result of Galois theoretic properties of modular transformations. We focus more specifically on parity functions associated with affine Lie algebras, for which we give two efficient formulas. We investigate the consequences of these for the modular invariance problem.Comment: 18 pages, no figure, LaTeX2

Structural Brain Network Reorganization and Social Cognition Related to Adverse Perinatal Condition from Infancy to Early Adolescence.

Adverse conditions during fetal life have been associated to both structural and functional changes in neurodevelopment from the neonatal period to adolescence. In this study, connectomics was used to assess the evolution of brain networks from infancy to early adolescence. Brain network reorganization over time in subjects who had suffered adverse perinatal conditions is characterized and related to neurodevelopment and cognition. Three cohorts of prematurely born infants and children (between 28 and 35 weeks of gestational age), including individuals with a birth weight appropriated for gestational age and with intrauterine growth restriction (IUGR), were evaluated at 1, 6, and 10 years of age, respectively. A common developmental trajectory of brain networks was identified in both control and IUGR groups: network efficiencies of the fractional anisotropy (FA)-weighted and normalized connectomes increase with age, which can be related to maturation and myelination of fiber connections while the number of connections decreases, which can be associated to an axonal pruning process and reorganization. Comparing subjects with or without IUGR, a similar pattern of network differences between groups was observed in the three developmental stages, mainly characterized by IUGR group having reduced brain network efficiencies in binary and FA-weighted connectomes and increased efficiencies in the connectome normalized by its total connection strength (FA). Associations between brain networks and neurobehavioral impairments were also evaluated showing a relationship between different network metrics and specific social cognition-related scores, as well as a higher risk of inattention/hyperactivity and/or executive functional disorders in IUGR children