Chern-Simons Gauge Theory and projectively flat vector bundles on 421-1421-1421-1

We consider a vector bundle on Teichmüller space which arises naturally from Witten's analysis of Chern-Simons Gauge Theory, and define a natural connection on it. In the case when the gauge group isU(1) we compute the curvature, showing, in particular, that the connection is projectively flat.Work supported by DOE grant DE-FG-02-88ER25066     

A theoretical analysis of a piezoelectric ultrasound device with an active matching layer

This paper investigates the use of magnetically active materials in the matching layer of a piezoelectric transducer. This then allows the performance of the device to be dynamically altered by applying an external field. The effect that this new matching layer has on the performance of a typical device is theoretically investigated here. It transpires that the additional flexibility of an active matching layer can be used to maintain the efficiency of the device as the external load is varied.     

A contradistinction in the magnetic (13C NMR spectroscopy) and chemical behaviour of 4-Oxo-4,5,6,7-tetrahydroindole derivatives

Carbon-13 NMR data are reported for a series of 1,2-diaryl-4-oxo-4,5,6,7-tetrahydroindoles, 6-methyl-2-phenyl-4-oxo-4,5,6,7-tetrahydrobenzofuran and 1-,6-dithiaindan-4-one. The chemical shifts δ 193–196, δ 195.5 and δ 184 are identified for the carbonyl carbon (C-4) in the tetrahydroindoles, tetrahydrobenzofuran and dithiaindan derivatives, respectively. These shifts are located in the same region as that reported for the corresponding carbonyl carbon in aryl conjugated ketones. An excellent correlation between the chemical shift for the carbonyl carbon and the chemical reactivity of the ketonic function is noticed in the case of the latter two series of ketones while such a correlation is typically absent in the case of the 4-ketotetrahydroindole derivatives.     

A Facile Synthesis of Raltegravir Potassium—An HIV Integrase Inhibitor

A facile, cost‐effective, and commercially viable synthesis of Raltegravir Potassium ( 1 ) has been developed from 2‐(1‐amino‐1‐methyl‐ethyl)‐N‐[(4‐fluorophenyl)methyl]‐1,6‐dihydro‐5‐hydroxy‐1‐methyl‐6‐oxo‐4‐pyrimidinecarboxamide ( 9 ) with high purity and in good yields. In addition, a new approach for the synthesis of key amine intermediate ( 9 ) of Raltegravir Potassium ( 1 ) from commercially available 2‐amino‐2‐methylpropanenitrile hydrochloride ( 2 ) is also described. The key features of the synthesis are fewer synthetic steps, employing the inexpensive reagents and eco‐friendly.