Exact Correlators of Giant Gravitons from dual N=4 SYM

dc.creatorCorley, Steve
dc.creatorJevicki, Antal
dc.creatorRamgoolam, Sanjaye
dc.date2001-11-23
dc.date2002-02-05
dc.date.accessioned2026-07-07T04:12:44Z
dc.date.available2026-07-07T04:12:44Z
dc.descriptionA class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the four-dimensional spacetime coordinates and are related to correlators in a one-dimensional Matrix Model with complex Matrices obtained by dimensional reduction of N=4 SYM on a three-sphere. A key technical tool is Frobenius-Schur duality between symmetric and Unitary groups and the results are expressed simply in terms of U(N) group integrals or equivalently in terms of Littlewood-Richardson coefficients. These correlation functions are used to understand the existence/properties of giant gravitons and related solutions in the string theory dual on $ AdS_5 \times S^5$. Some of their properties hint at integrability in N=4 SYM.
dc.description28 pages (harvmac big); v2 : added refs and acknowledgements, v3: typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0111222
dc.identifierhttp://arxiv.org/abs/hep-th/0111222
dc.identifierAdv.Theor.Math.Phys. 5 (2002) 809-839
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51008
dc.subjectHigh Energy Physics - Theory
dc.titleExact Correlators of Giant Gravitons from dual N=4 SYM
dc.typetext

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