Exact Correlators of Giant Gravitons from dual N=4 SYM

2001/11/30 by Steve Corley, Antal Jevicki, Sanjaye Ramgoolam · 2 citations
Physics and Astronomy · #hep-th

paper · pdf

published as Adv.Theor.Math.Phys. 5 (2002) 809-839 · 28 pages (harvmac big); v2 : added refs and acknowledgements, v3: typos corrected

arxiv created 2002/02/05 · arxiv updated 2009/11/30

Abstract

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 AdS₅ × S⁵. Some of their properties hint at integrability in N=4 SYM.

Cited by

• Gauge Invariants at Arbitrary N and Trace Relations
• Hilbert Space of Finite N Multi-matrix Models

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