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Branes, permutations and oscillators

Presented by: 
S Ramgoolam Queen Mary, University of London
Thursday 31st May 2012 - 16:45 to 17:30
The group theory of permutations plays a central role in understanding the emergence of giant graviton branes from gauge-invariant operators in the dual gauge theory. This holds for BPS operators as well as their non-BPS excitations. Young diagrams, Schur-Weyl duality and double cosets are some of the concepts that are useful in analysing the action of the gauge-theory one-loop dilatation operator acting on brane excitations. The analysis leads to harmonic oscillator systems describing strings attached to the branes. The talk will be based primarily on
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons