Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2008/02/030
Keywords
1/N expansion; AdS-CFT correspondence; m(atrix) theories; gauge-gravity correspondence
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Funding
- STFC [ST/G000433/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000433/1] Funding Source: researchfish
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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 S-n. When applied to N = 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 AdS(5) x S-5 spacetime to gauge invariant operators of the dual N = 4 SYM.
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