Topological representations of U q (sl2(ℂ)) on the torus and the mapping class group

We compute the mapping class group action on cycles on the configuration space of the torus with one puncture, with coefficients in a local system arising in conformal field theory. This action commutes with the topological action of the quantum group U _q (sl₂()), and is given in vertex form.     

Revenue recycling of a CO2 tax: Results from a general equilibrium model for Switzerland

This paper combines a recent proposal by the Swiss government for a CO₂ tax with a policy that uses the tax revenues to lower the pre-existing marginal labor income tax rates, and examines the efficiency and distribution effects of such a revenue recycling policy. The investigation, based on a large-scale general equilibrium model, contrary to other studies, indicates that an environmental tax reform involves negative gross cost, that is, increases welfare even when environmental benefits are not accounted for. The simulation results further show that the adverse distributional effects of a pure CO₂ tax are neutralized or even reversed when tax revenues finance cuts of existing taxes.We thank Tom Rutherford, Reto Schleiniger and two anonymous referees for helpful comments on an earlier draft of this paper. Financial support by the Federal Agency for Energy under the SOEFF program is gratefully acknowledged. The views expressed here are those of the authors and do not represent the opinions of the granting agency.     

On a homotopy version of the Duflo isomorphism

Letters in Mathematical Physics - For a finite-dimensional Lie algebra $$\mathfrak {g}$$, the Duflo map $$S\mathfrak {g}\rightarrow U\mathfrak {g}$$ defines an isomorphism of $$\mathfrak...     

Vorschlag zur Erweiterung des Anwendungsbereiches der Differential-Scanning-Calorimetrie zur Bestimmung der Reinheit organischer Substanzen

Zusammenfassung Aufgrund des Schmelzverhaltens kristalliner, organischer Substanzen lassen sich Reinheitsbestimmungen durchführen. Die in den letzten Jahren bekannt gewordene DSC-Technik ist jedoch nur auf relativ reine Substanzen (Verunreinigung < 5 Mol-%) anwendbar. Es wird ein Verfahren vorgeschlagen, welches erlaubt, den Anwendungsbereich der Methode wesentlich zu erweitern (Verunreinigung 20 Mol-%). Die Methode basiert auf dem Zumischen der möglichst hochgereinigten Hauptkomponente zum verunreinigten Produkt. Auf diese Weise wird der Gehalt der Verunreinigung in einen Bereich verschoben, der mit hoher Wahrscheinlichkeit im Gültigkeitsbereich des Raoultschen Gesetzes liegt. Trägt man den Gehalt an Verunreinigung dieser Mischungen als Funktion des Mischungsverhältnisses auf, so resultiert eine Gerade. Aus der Neigung dieser Geraden kann die gesuchte Reinheit berechnet werden. Verschiedene Auswertungsmöglichkeiten werden diskutiert. Ein großer Vorteil der vorgeschlagenen Methode liegt darin, daß die Auswertbarkeit der Reinheitsbestimmungen kontrolliert und die Signifikanz des Ergebnisses abgeschätzt werden kann.

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Proposed method for extending the range of purity determinations of organic substances using DSC

Based on the melting behaviour it is possible to determine the purity of crystalline, organic substances. The DSC technique developed in the last few years is applicable only to relatively pure substances (impurity content < 5 Mol-%). A method is proposed which allows the application range to be extended (impurity content 20 Mol-%). The method is based on the mixing of the as pure as possible main component to the impure product. In this way there is a high probability that the impurity content is shifted into a region where Raoult's law is obeyed. The impurity content of this mixture is plotted as a function of the mixture ratio and a straight line is obtained. From the slope of the line the impurity content may be determined. Different graphical representations are discussed. An advantage of this method is that the applicability of the purity determination is controlled and an estimation of the significance of the result is possible.

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Die DSC-Messungen sowie die Auswertungen wurden von Frau U. Kaden mit großer Zuverlässigkeit durchgeführt, wofür wir ihr herzlich danken.     

Dual-mode sorption and transport of sulfur dioxide in kapton polyimide

The kinetics and equilibria of SO₂ sorption in Kapton polyimide film have been studied at temperatures from 25 to 55°C and equilibrium sorption pressures up to 0.76 atm. The data are described well by the dual-mode model of sorption and transport in glassy polymers. The assumption of “partial immobilization” is required to correlate the transport data: the mobility of the Langmuir component of the sorbed population relative to the Henry's-law component is close to zero at 25°C, and increases to roughly 5% of the Henry's-law component mobility at 55°C. The heat of sorption is anomalously low, suggesting the presence of residual solvent in the film, a suggestion confirmed by annealing studies. However, the study also shows that partial removal of the residual has a relatively minor effect on the measured SO₂ sorption level and transport rates at 55°C.     

Electronic transition in thef-electron band of UAs1-x Sbx

Thex dependence of the low-temperature electronic specific heat in the UAs_1-xSb_x series gives evidence for an electronic transition involving the electron band with predominant 5f symmetry. This is indicated by a decrease of the electronic specific-heat parameter by a factor of 20 betweenx=0.5 andx=0.8. The transition does not destroy the metallic character of the compounds withx>0.8, as evidence by the value of and the temperature dependence of the electrical resistivity of USb.     

Perturbation theory and non-renormalizable scalar fields

We study how to set up systematic summation rules that could permit us to interpret the divergent expressions arising in the perturbation theory of :P(): _d when one does not allow any renormalization besides the usual coupling constants, mass and wave function renormalizations.Supported in part by NSF grant PHY-8342570. Address after March 1985: Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, SwitzerlandSupported in part by NSF grant MCS-8108814 (A03)