Graph duality and AdS/CFT

ORAL

Abstract

Recent mathematical identities between the branching graphs of the unitary groups and the branching graphs of the symmetric groups have been discovered. They go beyond the celebrated Schur-Weyl duality. Schur-Weyl duality was found to have a deep connection with the AdS/CFT correspondence, which states the equivalence between String Theory in AdS backgrounds and specific superconformal field theories. In this talk we will investigate the relation between these new mathematical identities and the AdS/CFT correspondence by identifying each side of the identities with AdS processes and CFT processes respectively. The holographic interpretation of identities involving unitary and symmetric groups is indeed a new methodology for approaching the AdS/CFT correspondence.

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Authors

  • Pablo Diaz Benito

    University of Lethbridge

  • Mike Smith

    University of Kentucky, Michigan State University, University of Guelph, TRIUMF, Colorado School of Mines, Simon Fraser University, University of Texas at Dallas, Washington State University, Okinawa Institute of Science and Technology Graduate University, Japan, Institute for Quantum Science and Technology, University of Calgary, University of British Columbia, School of Physics and Astronomy, Tel Aviv U., Cyclotron Institute and Dept. of Physics and Astronomy, Texas A\&M U., Dept. of Physics and Astronomy, U. Manitoba, Dept. of Physics and Astronomy, U. British Columbia, TRIUMF, Vancouver, British Columbia, Department of Physics and Astronomy, University of Calgary, Institut f{\"u}r Kernphysik, Westf{\"a}lische Wilhelms-Universit{\"a}t, M{\"u}nster, Germany, Simon Fraser U./TRIUMF, U. British Columbia/TRIUMF, MPIK/TRIUMF, U. Manitoba, U. Surrey, TRIUMF/U. British Columbia, U. Manitoba/TRIUMF, McGill U., Simon Fraser U., Queen Mary University of London, Harvard University, University of Lethbridge, Georgia Institute of Technology, St. Mary's University, University of Washington, University of Auckland, Central Washington University

  • Mike Smith

    University of Kentucky, Michigan State University, University of Guelph, TRIUMF, Colorado School of Mines, Simon Fraser University, University of Texas at Dallas, Washington State University, Okinawa Institute of Science and Technology Graduate University, Japan, Institute for Quantum Science and Technology, University of Calgary, University of British Columbia, School of Physics and Astronomy, Tel Aviv U., Cyclotron Institute and Dept. of Physics and Astronomy, Texas A\&M U., Dept. of Physics and Astronomy, U. Manitoba, Dept. of Physics and Astronomy, U. British Columbia, TRIUMF, Vancouver, British Columbia, Department of Physics and Astronomy, University of Calgary, Institut f{\"u}r Kernphysik, Westf{\"a}lische Wilhelms-Universit{\"a}t, M{\"u}nster, Germany, Simon Fraser U./TRIUMF, U. British Columbia/TRIUMF, MPIK/TRIUMF, U. Manitoba, U. Surrey, TRIUMF/U. British Columbia, U. Manitoba/TRIUMF, McGill U., Simon Fraser U., Queen Mary University of London, Harvard University, University of Lethbridge, Georgia Institute of Technology, St. Mary's University, University of Washington, University of Auckland, Central Washington University