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Schur-Weyl Duality as an Instrument of Gauge-String Duality

2008/01/01 by Sanjaye Ramgoolam, José D. Edelstein, Nicolás Grandi +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #math.RT

paper · pdf · doi:10.1063/1.2972012

published as AIPConf.Proc.1031:255-265,2008 · 10 pages,talk given at ``Ten years of AdS/CFT,'' Buenos Aires, December 19-21, 2007

openalex publication_date 2008/01/01 · arxiv created 2008/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

A class of mathematical dualities have played a central role in mapping states in gauge theory to states in the spacetime string theory dual. This includes the classical Schur‐Weyl duality between symmetric groups and Unitary groups, as well as generalisations involving Brauer and Hecke algebras. The physical string dualities involved include examples from the AdS/CFT correspondence as well as the string dual of two‐dimensional Yang‐Mills.

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