Schur-Weyl duality as an instrument of Gauge-String duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages,talk given at ``Ten years of AdS/CFT,'' Buenos Aires, December 19-21, 2007

Scientific paper

10.1063/1.2972012

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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