2,069 research outputs found

    Group Theory for the Standard Model of Particle Physics and Beyond

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    Based on the author's well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries.After linking symmetries

    Senior Seminar: A Capstone Course in the Computer and Mathematical Sciences

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    This paper describes the evolution of a course developed to tie together many strands of activity encountered by students in the computer and mathematical sciences (CMS). The senior level course is required of all majors in our computer science, applied mathematics and statistics undergraduate degree programs. One of the primary purposes of the course is to refine writing and presentation skills needed for those who will later pursue individual research projects. Writing projects are organized around the theme of “Ethical Decision Making in the Computer and Mathematical Sciences”. Numerous case studies are investigated. Additional topics in the course include designing resumes, starting a placement file, and a general introduction to the CMS culture. A course outline is given and various projects are discussed

    What do loose groups tell us about galaxy formation?

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    We present the results of a Parkes Multibeam HI survey of six loose groups of galaxies analogous to the Local Group. This survey was sensitive to HI-rich objects in these groups to below 10^7 M(sun) of HI, and was designed to search for low mass, gas-rich satellite galaxies and potential analogs to the high-velocity clouds seen around the Milky Way. This survey detected a total of 79 HI-rich objects associated with the six groups, half of which were new detections. While the survey identified a small number of dwarf galaxies, no star-free HI clouds were discovered. The HI mass function of the six groups appears to be roughly flat as is that of the Local Group. The cumulative velocity distribution function (CVDF) of the HI-rich halos in the six groups is identical to that of the Local Group. Both of these facts imply that these groups are true analogs to the Local Group and that the Local Group is not unique in its lack of low-mass dwarf galaxies as compared to the predictions of cold dark matter models of galaxy formation. This survey also constrains the distance to and HI masses of the compact high-velocity clouds (CHVCs) around the Milky Way. The lack of CHVC analog detections implies that they are distributed within <160 kpc of the Milky Way and have average HI masses of <4x10^5 M(sun). The spatial distribution of CHVCs is consistent with the predictions of simulations for dark matter halos. Furthermore the CVDF of Local Group galaxies plus CHVCs matches the predicted CVDF of cold dark matter simulations of galaxy formation. This provides circumstantial evidence that CHVCs may be associated with low-mass dark matter halos.Comment: 4 pages, to appear in the proceedings of "Baryons in Dark Matter Halos" Eds R-J., Dettmar, U. Klein, P. Salucci, PoS, SISSA, http://pos.sissa.i

    An HI census of Loose Groups of Galaxies

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    We present results from our Parkes Multibeam HI survey of 3 loose groups of galaxies that are analogous to the Local Group. This is a survey of groups containing only spiral galaxies with mean separations of a few hundred kpc, and total areas of approximately 1 sq. Mpc; groups similar to our own Local Group. We present a census of the HI-rich objects in these groups down to an M(HI), 1-sigma sensitivity ~7x10^5 M(sun), as well as the detailed properties of these detections from follow-up Compact Array observations. We found 7 new HI-rich members in the 3 groups, all of which have stellar counterparts and are, therefore, typical dwarf galaxies. The ratio of low-mass to high-mass gas-rich galaxies in these groups is less than in the Local Group meaning that the ``missing satellite'' problem is not unique. No high-velocity cloud analogs were found in any of the groups. If HVCs in these groups are the same as in the Local Group, this implies that HVCs must be located within ~300-400 kpc of the Milky Way.Comment: 6 pages, to appear in the ASP proceedings of IAU Symposium 217, "Recycling intergalactic and interstellar matter", eds. Pierre-Alain Duc, Jonathan Braine, Elias Brink

    Implementing an EMS - Dotting the “i’s;” Crossing the “t’s.”

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    Summarizes how WMRC assists Illinois businesses with EMS and ISO 14000 implementation. He will provide a description of how WMRC works with other organizations such as NIST MEP's, etc. to facilitate relationships with companies interested in EMS or ISO 14000. He will describe the details of what WMRC does for the companies in terms of EMS/ISO assistance and the extended services that they provide, such as identifying P2 projects in the process of doing an EMS/ISO assessment and then providing assistance with implementation of both.Ope

    The Exact Superconformal R-symmetry Minimizes Ď„RR\tau_{RR}

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    We present a new, general constraint which, in principle, determines the superconformal U(1)RU(1)_R symmetry of 4d N=1\N =1 SCFTs, and also 3d N=2\N =2 SCFTs. Among all possibilities, the superconformal U(1)RU(1)_R is that which minimizes the coefficient, Ď„RR\tau_{RR}, of its two-point function. Equivalently, the superconformal U(1)RU(1)_R is the unique one with vanishing two-point function with every non-R flavor symmetry. For 4d N=1\N =1 SCFTs, Ď„RR\tau_{RR} minimization gives an alternative to a-maximization. Ď„RR\tau_{RR} minimization also applies in 3d, where no condition for determining the superconformal U(1)RU(1)_R had been previously known. Unfortunately, this constraint seems impractical to implement for interacting field theories. But it can be readily implemented in the AdS geometry for SCFTs with AdS duals.Comment: 18 page

    Prospectus, April 30, 2014

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    PARKLAND\u27S WIRELESS ISSUES, Parkland Planetarium Presents The Planets, Being an International Student is no Small Feat, Don\u27t Count the Humanities Out, Improving Graduation Rates, Golf Stays Hot Going Into Post-Season, Change in Game of Thrones Episode Sparks Controversy Among Viewershttps://spark.parkland.edu/prospectus_2014/1011/thumbnail.jp

    N=1 RG Flows, Product Groups, and a-Maximization

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    We explore new IR phenomena and dualities, arising for product groups, in the context of N=1 supersymmetric gauge theories. The RG running of the multiple couplings can radically affect each other. For example, an otherwise IR interacting coupling can be driven to be instead IR free by an arbitrarily small, but non-zero, initial value of another coupling. Or an otherwise IR free coupling can be driven to be instead IR interacting by an arbitrarily small non-zero initial value of another coupling. We explore these and other phenomena in N=1 examples, where exact results can be obtained using a-maximization. We also explore the various possible dual gauge theories, e.g. by dualizing one gauge group with the other treated as a weakly gauged flavor symmetry, along with previously proposed duals for the theories deformed by A_k-type Landau-Ginzburg superpotentials. We note that this latter duality, and all similar duality examples, always have non-empty superconformal windows, within which both the electric and dual A_k superpotentials are relevant.Comment: 36 pages, 8 figure
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