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

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.

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

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Cited by in corpus (24)

• Nonplanar Integrability
• Counting Tensor Model Observables and Branched Covers of the 2-Sphere
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• Enhanced symmetries of gauge theory and resolving the spectrum of local operators
• A double coset ansatz for integrability in AdS/CFT
• Surprisingly Simple Spectra
• Yangians, S-matrices and AdS/CFT
• Emergent Threebrane Lattices
• Restricted Schur Polynomials for Fermions and integrability in the su(2|3) sector
• Strings from Feynman Graph counting : without large N
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Restricted Schur Polynomials and Finite N Counting
• Quarter BPS classified by Brauer algebra
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Exciting LLM Geometries
• Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
• Flavour singlets in gauge theory as Permutations
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Integrality, Duality and Finiteness in Combinatoric Topological Strings
• All-orders asymptotics of tensor model observables from symmetries of restricted partitions
• Graph duality as an instrument of Gauge-String correspondence
• Linguistic Matrix Theory
• $\mathcal{N}=4$ SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
• Counting paths with Schur transitions