Diagonal multi-matrix correlators and BPS operators in N=4 SYM

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dc.creatorBrown, T. W.
dc.creatorHeslop, P. J.
dc.creatorRamgoolam, S.
dc.date2007-11-01
dc.date2008-02-01
dc.date.accessioned2026-07-07T12:29:52Z
dc.date.available2026-07-07T12:29:52Z
dc.descriptionWe 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.
dc.description36+12 pages, 7 figures, typos corrected, references added
dc.identifierhttps://arxiv.org/abs/0711.0176
dc.identifierhttp://arxiv.org/abs/0711.0176
dc.identifierJHEP 0802:030,2008
dc.identifierdoi:10.1088/1126-6708/2008/02/030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215972
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectRepresentation Theory
dc.titleDiagonal multi-matrix correlators and BPS operators in N=4 SYM
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