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- W2953198013 abstract "We present a complete basis of multi-trace multi-matrix operators that has a diagonal two point function for the free matrix field theory at finite N. This generalises to multiple matrices the single matrix diagonalisation by Schur polynomials. Crucially, it involves intertwining the gauge group U(N) and the global symmetry group U(M) with Clebsch-Gordan coefficients of symmetric groups Sn. When applied to = 4 super Yang-Mills we consider the U(3) subgroup of the full symmetry group. The diagonalisation allows the description of a dual basis to multi-traces, which permits the characterisation of the metric on operators transforming in short representations at weak coupling. This gives a framework for the comparison of quarter and eighth-BPS giant gravitons of AdS5 × S5 spacetime to gauge invariant operators of the dual = 4 SYM." @default.
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- W2953198013 date "2008-02-12" @default.
- W2953198013 modified "2023-09-23" @default.
- W2953198013 title "Diagonal multi-matrix correlators and BPS operators in 𝒩 = 4 SYM" @default.
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- W2953198013 doi "https://doi.org/10.1088/1126-6708/2008/02/030" @default.
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