35,934 research outputs found

    From 2D Integrable Systems to Self-Dual Gravity

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    We explain how to construct solutions to the self-dual Einstein vacuum equations from solutions of various two-dimensional integrable systems by exploiting the fact that the Lax formulations of both systems can be embedded in that of the self-dual Yang--Mills equations. We illustrate this by constructing explicit self-dual vacuum metrics on R2×Σ\R^2\times \Sigma, where Σ\Sigma is a homogeneous space for a real subgroup of SL(2, \C) associated with the two-dimensional system.Comment: 9 pages, LaTex, no figure

    Cleft Extensions and Quotients of Twisted Quantum Doubles

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    Given a pair of finite groups F,GF, G and a normalized 3-cocycle ω\omega of GG, where FF acts on GG as automorphisms, we consider quasi-Hopf algebras defined as a cleft extension kωG#ckF\Bbbk^G_\omega\#_c\,\Bbbk F where cc denotes some suitable cohomological data. When FF:=F/AF\rightarrow \overline{F}:=F/A is a quotient of FF by a central subgroup AA acting trivially on GG, we give necessary and sufficient conditions for the existence of a surjection of quasi-Hopf algebras and cleft extensions of the type kωG#ckFkωG#ckF\Bbbk^G_\omega\#_c\, \Bbbk F\rightarrow \Bbbk^G_\omega\#_{\overline{c}} \, \Bbbk \overline{F}. Our construction is particularly natural when F=GF=G acts on GG by conjugation, and kωG#ckG\Bbbk^G_\omega\#_c \Bbbk G is a twisted quantum double Dω(G)D^{\omega}(G). In this case, we give necessary and sufficient conditions that Rep(kωG#ckG\Bbbk^G_\omega\#_{\overline{c}} \, \Bbbk \overline{G}) is a modular tensor category.Comment: LaTex; 14 page

    Staple Food Consumption Patterns in Urban Zambia: Results from the 2007/2008 Urban Consumption Survey

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    • The Zambia Urban Consumption Survey, a survey of 1,865 urban households in Lusaka, Kitwe, Mansa, and Kasama, was conducted in August 2007 and February 2008 by the Central Statistical Office in collaboration with the Zambia Food Security Research Project. • Survey results indicate that in Lusaka and Kitwe, wheat has overtaken maize as the most important staple in terms of urban consumer expenditures. Maize is no longer the dominant staple food in urban Zambia, except among the poor. This finding is consistent with broader regional trends toward declining dependence on maize for urban staple food needs. • Hammer-milling services are readily available to the vast majority of urban households and in most cases their cheapest maize meal option is to obtain maize grain and have it custom-milled for a fee. However, maize grain is not consistently available in public markets during the lean season (December-March). GRZ could promote urban food security by ensuring that maize grain is available in public markets at all times. • In Kasama and Mansa, and particularly among relatively poor households, cassava is an important consumption item and serves as a buffer against high maize prices and poor maize grain availability during the lean season. • Supermarkets have only 5-17% of the market share for staple foods and are frequented mainly by wealthier households. Urban consumers are heavily dependent upon non-supermarket, informal retail outlets such as public markets and grocers for their staple food purchases. Policies and public investments to support these traditional retailers, help them operate more efficiently, and reduce the transaction costs they face may have higher payoffs for most urban consumers as well as smallholder farmers than policies presupposing the rapid takeover of supermarkets and other more formal retail channels.Zambia, food security, consumption, household, urban, Agricultural and Food Policy, Community/Rural/Urban Development, Consumer/Household Economics, Food Security and Poverty, International Development, q19,

    Strong absorption and selective thermal emission from a mid-infrared metamaterial

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    We demonstrate thin-film metamaterials with resonances in the mid-infrared wavelength range. Our structures are numerically modeled and experimentally characterized by reflection and angularly-resolved thermal emission spectroscopy. We demonstrate strong and controllable absorption resonances across the mid-infrared wavelength range. In addition, the polarized thermal emission from these samples is shown to be highly selective and largely independent of emission angles from normal to 45 degrees. Experimental results are compared to numerical models with excellent agreement. Such structures hold promise for large-area, low-cost metamaterial coatings for control of gray- or black-body thermal signatures, as well as for possible mid-IR sensing applications.Comment: The following article has been submitted to Appl. Phys. Lett. After it is published, it will be found at http://apl.aip.org/. 14 pages including 4 figure page

    Sexuality at the Bar: An Empirical Exploration into the Experiences of LGBT+ Barristers in England & Wales

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    The Bar of England & Wales is an historic, traditional institution of courtroom advocates and specialist advisers that can trace its origins back to the 13th century. As a field of study, there is comparatively little academic work on barristers. Where work has been done on the Bar, and in relation to diversity at the Bar, this has tended to focus either wholly or primarily on women barristers and suggests patterns of inequality, exclusion and forms of direct and indirect discrimination. Like the other branches of the legal profession in England and Wales, the Bar does not reflect the society it serves. In their world-first research, ‘Sexuality at the Bar’, Mason and Vaughan show a variety of complex practices which govern where (and when and how) LGBT+ members of the Bar feel comfortable being open about their sexuality as well as highlighting a significant number of LGBT+ barristers who have experienced work related bullying and/or discrimination. Their work also suggests an increasing role for Bar-specific LGBT+ networks and the value of LGBT+ role models, both at the Bar and in the judiciary

    Gastric perforation and pancreatitis manifesting after an inadvertent nissen fundoplication in a patient with superior mesenteric artery syndrome.

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    Superior mesenteric artery (SMA) syndrome is an uncommon but well-recognized clinical entity. It can lead to proximal small bowel obstruction and severe morbidity and mortality in lieu of late diagnosis and concomitant existing comorbidities. We report a 54-year-old female, with SMA syndrome which manifested itself after Nissen fundoplication along with two major complications. The diagnosis of SMA was established by clinical symptoms and radiological findings
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