Conformal Field Theories, Graphs and Quantum Algebras

This article reviews some recent progress in our understanding of the structure of Rational Conformal Field Theories, based on ideas that originate for a large part in the work of A. Ocneanu. The consistency conditions that generalize modular invariance for a given RCFT in the presence of various types of boundary conditions --open, twisted-- are encoded in a system of integer multiplicities that form matrix representations of fusion-like algebras. These multiplicities are also the combinatorial data that enable one to construct an abstract ``quantum'' algebra, whose $6j$- and $3j$-symbols contain essential information on the Operator Product Algebra of the RCFT and are part of a cell system, subject to pentagonal identities. It looks quite plausible that the classification of a wide class of RCFT amounts to a classification of ``Weak $C^*$- Hopf algebras''.Comment: 23 pages, 12 figures, LateX. To appear in MATHPHYS ODYSSEY 2001 --Integrable Models and Beyond, ed. M. Kashiwara and T. Miwa, Progress in Math., Birkhauser. References and comments adde

Economic Burden of Hospitalizations for Heat-Related Illnesses in the United States, 2001–2010

Understanding how heat waves affect morbidity and mortality, as well as the associated economic costs, is essential for characterizing the human health impacts of extreme heat under a changing climate. Only a handful of studies have examined healthcare costs associated with exposures to high temperatures. This research explores costs associated with hospitalizations for heat-related illness (HRI) in the United States using the 2001 to 2010 Nationwide Inpatient Sample (NIS). Descriptive statistics of patient data for HRI hospitalizations were examined and costs of hospitalizations were reported using the all-payer inpatient cost-to-charge ratio. Costs were examined using a log-gamma model with patient and hospital characteristics included as fixed effects. Adjusted mean costs were then compared across racial groups. The mean costs of HRI hospitalizations were higher among racial/ethnic minorities compared to Whites, who accounted for almost 65% of all HRI hospitalizations. Observed differences in costs based on income, insurance, and gender were also significant. These results suggest that these populations are suffering disproportionately from health inequity, thus, they could shoulder greater disease and financial burdens due to climate change. These findings may have important implications in understanding the economic impact public health planning and interventions will have on preventing hospitalizations related to extreme heat. Keywords: climate change; health equity; heat-related illness; hospitalizations; economic cost; racial disparitie

Using Projects Scoring Rubrics to Assess Student Learning in an Information Systems Program

This paper is about using projects for assessment of student learning in different courses of an Information Systems (IS) program. An overview of the role of educational projects in student learning is presented. The various aspects of defining standardized rubrics across an IS program are discussed. A methodology for the use of such rubrics in assessing student learning in interrelated courses is proposed and is illustrated by example involving two Information Systems courses

IMMUNOMODULATORS IN PULMOLOGIGAL PRACTICE

No abstrac

The Virtue of Defects in 4D Gauge Theories and 2D CFTs

We advance a correspondence between the topological defect operators in Liouville and Toda conformal field theories - which we construct - and loop operators and domain wall operators in four dimensional N=2 supersymmetric gauge theories on S^4. Our computation of the correlation functions in Liouville/Toda theory in the presence of topological defect operators, which are supported on curves on the Riemann surface, yields the exact answer for the partition function of four dimensional gauge theories in the presence of various walls and loop operators; results which we can quantitatively substantiate with an independent gauge theory analysis. As an interesting outcome of this work for two dimensional conformal field theories, we prove that topological defect operators and the Verlinde loop operators are different descriptions of the same operators.Comment: 59 pages, latex; v2 corrections to some formula

Charges of Exceptionally Twisted Branes

The charges of the exceptionally twisted (D4 with triality and E6 with charge conjugation) D-branes of WZW models are determined from the microscopic/CFT point of view. The branes are labeled by twisted representations of the affine algebra, and their charge is determined to be the ground state multiplicity of the twisted representation. It is explicitly shown using Lie theory that the charge groups of these twisted branes are the same as those of the untwisted ones, confirming the macroscopic K-theoretic calculation. A key ingredient in our proof is that, surprisingly, the G2 and F4 Weyl dimensions see the simple currents of A2 and D4, respectively.Comment: 19 pages, 2 figures, LaTex2e, complete proofs of all statements, updated bibliograph

Composición lipídica de diferentes partes del fruto del aguaymanto (Physalis peruviana L.) y valorización de residuos de semillas y cáscaras

The consumption of Cape gooseberry (Physalis peruviana L.) fruit (CG), fresh or processed, is gaining popularity worldwide, due to its nutritional and medicinal benefits. This study was based on the analysis of the lipid fraction of different parts of CG fruit and on further valorization of the resulting CG waste. The content of glyceride oil in CG seeds, peels and seed/peel waste, as well as the individual fatty acid, sterol and tocopherol composition of the oils was determined. CG seeds and seed/peel waste were a rich source of oil (up to 22.93%), which is suitable for nutritional application, due to its high proportions of unsaturated fatty acids (up to 83.77%), sterols (campesterol, Δ5-аvenasterol, β-sitosterol) and tocopherols (β-, δ- and γ-tocopherols). Seed/peel waste and the extracted seed cakes contained macro- and microminerals (K, Mg, Na, Fe, Zn, Mn, Cu) which are important for human and animal nutrition. Seed cakes had relatively high protein (24.32%) and cellulose (42.94%) contents, and an interesting amino acid profile. The results from the study contribute to a deeper understanding of the composition of CG fruit, and might be of practical relevance in the development of functional foods and feeds.El consumo del aguaymanto (Physalis peruviana L.), fresco o procesado, está ganando popularidad en todo el mundo debido a sus beneficios nutricionales y medicinales. Este estudio se basó en el análisis de la fracción lipídica de diferentes partes de la fruta y en una mayor valorización de los desechos resultantes. Se determinó el contenido de la fracción glicerídica en semillas, cáscaras y residuos de semillas/cáscaras, así como la composición individual de ácidos grasos, esteroles y tocoferoles de los aceites. Las semillas de aguaymanto y los residuos de semillas/cáscaras fueron una rica fuente de aceite (hasta 22,93%), adecuados para un uso nutricional, debido a las altas proporciones de ácidos grasos insaturados (hasta 83,77%), esteroles (campesterol, Δ5-avenasterol, β-sitosterol) y tocoferoles (β-, δ- y γ-tocoferol). Los residuos de semillas/cáscaras y los residuos desengrasados de semillas extraídos (tortas) contenían macro y microminerales (K, Mg, Na, Fe, Zn, Mn, Cu) importantes para la nutrición humana y animal. Las tortas de semillas tenían un contenido relativamente alto de proteínas (24,32%) y celulosa (42,94%), y un perfil de aminoácidos interesante. Los resultados del estudio contribuyen a una comprensión más profunda de la composición del aguaymanto y pueden ser de relevancia práctica en el desarrollo de alimentos y alimentos funcionales

't Hooft Operators in Gauge Theory from Toda CFT

We construct loop operators in two dimensional Toda CFT and calculate with them the exact expectation value of certain supersymmetric 't Hooft and dyonic loop operators in four dimensional \Ncal=2 gauge theories with SU(N) gauge group. Explicit formulae for 't Hooft and dyonic operators in \Ncal=2^* and \Ncal=2 conformal SQCD with SU(N) gauge group are presented. We also briefly speculate on the Toda CFT realization of arbitrary loop operators in these gauge theories in terms of topological web operators in Toda CFT.Comment: 49 pages, LaTeX. Typos fixed, references adde

Профессору Цветану Йотову 70 лет

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