80 research outputs found

    BF Theories and Group-Level Duality

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    It is known that the partition function and correlators of the two-dimensional topological field theory GK(N)/GK(N)G_K(N)/ G_K(N) on the Riemann surface Σg,s\Sigma_{g,s} is given by Verlinde numbers, dim(Vg,s,KV_{g,s,K}) and that the large KK limit of dim(Vg,s,KV_{g,s,K}) gives Vol(Ms{\cal M}_s), the volume of the moduli space of flat connections of gauge group G(N)G(N) on Σg,s\Sigma_{g,s}, up to a power of KK. Given this relationship, we complete the computation of Vol(Ms{\cal M}_s) using only algebraic results from conformal field theory. The group-level duality of G(N)KG(N)_K is used to show that if G(N)G(N) is a classical group, then limNGK(N)/GK(N)\displaystyle \lim_{N\rightarrow \infty} G_K(N) / G_K(N) is a BF theory with gauge group G(K)G(K). Therefore this limit computes Vol(Ms{\cal M}^\prime_s), the volume of the moduli space of flat connections of gauge group G(K)G(K)

    Homogeneous redox catalysed reduction of chloromethyldimethylchlorosilane

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    The electrochemical reduction of chloromethyldimethylchlorosilane, affording 1,1,3,3-tetramethyl-1,3-disilacyclobutane, involves a dissociative electron transfer to the LUMO which contains the predominant contribution of the Si-Cl orbitals, and results in the C-Cl bond cleavage. The reduction of trimethylchlorosilane occurs through the dissociative Si-Cl bond rupture. In the course of the reduction of chloromethyltrimethylsilane, the α-silicon stabilisation of the negative charge makes an individual anion radical to appear on the reaction coordinate. © 1999 Elsevier Science Ltd. All rights reserved

    Photocatalytic activity of nitrogen-doped TiO2-based nanowires: a photo-assisted Kelvin probe force microscopy study

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    The emerging industrial business partnerships, which feature cross-functional and cross-company development efforts, raise the barrier for the establishment of effective knowledge sharing practices in the larger organization. This chapter aims to highlight the role of knowledge as a key enabler for effective engineering activities in the light of such emerging enterprise collaboration models. Knowledge Enabled Engineering (KEE) is presented as an approach to enhance the extended organization’s capability to establish effective collaboration among its parts, in spite of different organizational structures, technologies or processes. KEE is analysed in its constituent parts, highlighting areas, methods and tools that are particularly interesting for leveraging companies’ knowledge sharing capabilities

    Ionospheric gas dynamics of satellites and diagnostic probes

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    The gas dynamics of interactions of a tenuous ionosphere with moving satellites and probes that have bearings on the diagnostics of the ionosphere are discussed. Emphasis is on the cases where the body is moving at mesothermal speeds, namely intermediate between the thermal speeds of ions and electrons of the ambient ionosphere. Methods of collision-free plasma kinetics with self-consistent field are used. The development of the topics for discussion starts with stationary Langmuir probe which entails the basic mechanism of body-plasma interaction that becomes further intricated as the body moves at a higher and higher speed. Applications of the theory of plasma interaction to meteors which move in the ionosphere are also presented.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43801/1/11214_2004_Article_BF00212707.pd

    Homogeneous redox catalysed reduction of chloromethyldimethylchlorosilane

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    The electrochemical reduction of chloromethyldimethylchlorosilane, affording 1,1,3,3-tetramethyl-1,3-disilacyclobutane, involves a dissociative electron transfer to the LUMO which contains the predominant contribution of the Si-Cl orbitals, and results in the C-Cl bond cleavage. The reduction of trimethylchlorosilane occurs through the dissociative Si-Cl bond rupture. In the course of the reduction of chloromethyltrimethylsilane, the α-silicon stabilisation of the negative charge makes an individual anion radical to appear on the reaction coordinate. © 1999 Elsevier Science Ltd. All rights reserved
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