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Exact correlators of giant gravitons from dual $N = 4$ SYM theory

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Corley, Steve, Jevicki, Antal, Ramgoolam, Sanjaye·2001·Advances in Theoretical and Mathematical Physics

Abstract

A class of correlation functions of half-BPS composite operators are computed exactly ( at finite JV ) in the zero coupling limit of iV = 4 SYM theory.These have a simple dependence on the fourdimensional spacetime coordinates and are related to correlators in a one-dimensional Matrix Model with complex Matrices obtained by dimensional reduction of iV = 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 AdSs x 5 5 .Some of their properties hint at integrability in N = 4 SYM.

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Metadata

Authors
Corley, S., Jevicki, A., & Ramgoolam, S.
Venue
Advances in Theoretical and Mathematical Physics
Published
2001
Volume
5
Issue
4
Pages
809-839
ISSN
  • 1095-0753 (ISSN-L)
  • 1095-0761
OpenAlex
W2149047320
Cited by
573
References
43
FWCI
10.16
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Exact correlators of giant gravitons from dual $N = 4$ SYM theory. https://app.cochat.ai/papers/10.4310/atmp.2001.v5.n4.a6
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Corley, S., Jevicki, A., & Ramgoolam, S. (2001). Exact correlators of giant gravitons from dual $N = 4$ SYM theory. Advances in Theoretical and Mathematical Physics. https://doi.org/10.4310/atmp.2001.v5.n4.a6

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