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New results for the SQCD Hilbert series

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Abstract

We derive new explicit results for the Hilbert series of \( \mathcal{N} \) = 1 supersymmetric QCD with U(N c) and SU(N c) color symmetry. We use two methods which have previously been applied to similar computational problems in the analysis of decay of unstable D-branes: expansions using Schur polynomials, and the log-gas approach related to random matrix theory.

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Authors and Affiliations

  1. Departamento de Física de Partículas, Universidade de Santiago de Compostela, E-15782, Santiago de Compostela, Spain

    Niko Jokela

  2. Instituto Galego de Física de Altas Enerxías (IGFAE), E-15782, Santiago de Compostela, Spain

    Niko Jokela

  3. Crete Center for Theoretical Physics, Department of Physics, University of Crete, 71003, Heraklion, Greece

    Matti Järvinen

  4. Helsinki Institute of Physics, University of Helsinki, P.O.Box 64, FIN-00014, Helsinki, Finland

    Esko Keski-Vakkuri

  5. Department of Physics, University of Helsinki, P.O.Box 64, FIN-00014, Helsinki, Finland

    Esko Keski-Vakkuri

  6. Department of Physics and Astronomy, Uppsala University, SE-75108, Uppsala, Sweden

    Esko Keski-Vakkuri

Authors
  1. Niko Jokela
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  2. Matti Järvinen
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  3. Esko Keski-Vakkuri
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Correspondence to Niko Jokela.

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ArXiv ePrint: 1112.5454

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Jokela, N., Järvinen, M. & Keski-Vakkuri, E. New results for the SQCD Hilbert series. J. High Energ. Phys. 2012, 48 (2012). https://doi.org/10.1007/JHEP03(2012)048

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