Exact Correlators of Giant Gravitons from dual N=4 SYM

Details Exact Correlators of Giant Gravitons from dual N=4 SYM Exact Correlators of Giant Gravitons from dual N=4 SYM

2001-11-23

arxiv.org/abs/hep-th/0111222v3

Adv.Theor.Math.Phys. 5 (2002) 809-839

Physics

High Energy Physics

High Energy Physics - Theory

28 pages (harvmac big); v2 : added refs and acknowledgements, v3: typos corrected

Scientific paper

A 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.

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