1,164 research outputs found

    Tinkertoys for the Twisted D-Series

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    We study 4D N=2 superconformal field theories that arise from the compactification of 6D N=(2,0) theories of type D_N on a Riemann surface, in the presence of punctures twisted by a Z_2 outer automorphism. Unlike the untwisted case, the family of SCFTs is in general parametrized, not by M_{g,n}, but by a branched cover thereof. The classification of these SCFTs is carried out explicitly in the case of the D_4 theory, in terms of three-punctured spheres and cylinders, and we provide tables of properties of twisted punctures for the D_5 and D_6 theories. We find realizations of Spin(8) and Spin(7) gauge theories with matter in all combinations of vector and spinor representations with vanishing beta-function, as well as Sp(3) gauge theories with matter in the 3-index traceless antisymmetric representation.Comment: 75 pages, 270 figure

    Tinkertoys for the Twisted E6E_6 Theory

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    We study 4D4D N=2\mathcal{N}=2 superconformal field theories that arise as the compactification of the six-dimensional (2,0)(2,0) theory of type E6E_6 on a punctured Riemann surface in the presence of Z2\mathbb{Z}_2 outer-automorphism twists. We explicitly carry out the classification of these theories in terms of three-punctured spheres and cylinders, and provide tables of properties of the Z2\mathbb{Z}_2-twisted punctures. An expression is given for the superconformal index of a fixture with twisted punctures of type E6E_6, which we use to check our identifications. Several of our fixtures have Higgs branches which are isomorphic to instanton moduli spaces, and we find that S-dualities involving these fixtures imply interesting isomorphisms between hyperK\"ahler quotients of these spaces. Additionally, we find families of fixtures for which the Sommers-Achar group, which was previously a Coulomb branch concept, acts non-trivially on the Higgs branch operators.Comment: 52 pages, 56 figure

    Seiberg-Witten for Spin(n)Spin(n) with Spinors

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    N=2\mathcal{N}=2 supersymmetric Spin(n)Spin(n) gauge theory admits hypermultiplets in spinor representations of the gauge group, compatible with β0\beta\leq0, for n14n\leq 14. The theories with β<0\beta<0 can be obtained as mass-deformations of the β=0\beta=0 theories, so it is of greatest interest to construct the β=0\beta=0 theories. In previous works, we discussed the n8n\leq8 theories. Here, we turn to the 9n149\leq n\leq 14 cases. By compactifying the DND_N (2,0) theory on a 4-punctured sphere, we find Seiberg-Witten solutions to almost all of the remaining cases. There are five theories, however, which do not seem to admit a realization from six dimensions.Comment: 28 pages, 54 figure

    Tinkertoys for the E7 Theory

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    We classify the class SS theories of type E7E_7. These are four-dimensional N=2\mathcal{N}=2 superconformal field theories arising from the compactification of the E7E_7 (2,0)(2,0) theory on a punctured Riemann surface, CC. The classification is given by listing all 3-punctured spheres ("fixtures"), and connecting cylinders, which can arise in a pants-decomposition of CC. We find exactly 11,000 fixtures with three regular punctures, and an additional 48 with one "irregular puncture" (in the sense used in our previous works). To organize this large number of theories, we have created a web application at https://golem.ph.utexas.edu/class-S/E7/ . Among these theories, we find 10 new ones with a simple exceptional global symmetry group, as well as a new rank-2 SCFT and several new rank-3 SCFTs. As an application, we study the strong-coupling limit of the E7E_7 gauge theory with 3 hypermultiplets in the 5656. Using our results, we also verify recent conjectures that the T2T^2 compactification of certain 6d6d (1,0)(1,0) theories can alternatively be realized in class SS as fixtures in the E7E_7 or E8E_8 theories.Comment: Fixed one entry in table of interacting fixtures with an irregular punctur

    Doing Public Sociology: Student perspectives of international placements

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    Here nine Bournemouth University undergraduate sociology students reflect on the international placements they undertook in January 2016 in welfare settings in Penang, Malaysia under the auspices of our partner, Universiti Sains Malaysia (USM). Placed in selected NGOs working at the ‘coalface’ of need, the agencies gave aptitude-testing demands of the students to rapidly adjust and cope with very different work expectations in an unfamiliar socio-cultural context, as described below

    Modelling the transient processes produced under heavy particle irradiation

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    A new model for the thermal spike produced by the nuclear energy loss, as source of transient processes, is derived analytically, for power law dependences of the diffusivity on temperature, as solution of the heat equation. The contribution of the ionizing energy loss to the spike is not included. The range of validity of the model is analysed, and the results are compared with numerical solutions obtained in the frame of the previous model of the authors, which takes into account both nuclear and ionization energy losses, as well as the coupling between the two subsystems in crystalline semiconductors. Particular solutions are discussed and the errors induced by these approximations are analysed.Comment: 13 page

    Comparing the penetrative stab performance of the UK HOSDB P1/B and Stanley Tools 1992 trimming blades on certified body armour specimens

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    This body of research assessed the penetrative stab performance of the United Kingdom Home Office Scientific Development Branch’s (HOSDB) P1/B certified blades against the readily accessible Stanley Tools 1992 trimming blade. All tests were performed against the HOSDB KR1-E1 impact energy of 24 Joules on HOSDB KR1 certified body armour specimens. Results demonstrated that the Stanley 1992 trimming blade posed a 30% greater stab threat in comparison to the HOSDB P1/B blade. This paper demonstrates the threat imposed by readily available utility blades and a requirement to enhance existing body stab resistant body armour test procedures testing procedures

    WORKS WRITTEN BY BLACK OLD TESTAMENT SCHOLARS : Bibliography

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    ...This bibliography seeks to address this problem by highlighting the work of Black Old Testament scholars to encourage others to use these publications in research and teaching. The bibliography is not designed to be comprehensive, but merely to illustrate the range of scholarship available from these Black scholars
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