Exact Correlators of Giant Gravitons from dual N=4 SYM

By S. Corley, A. Jevicki, Sanjaye Ramgoolam. 2001

623 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3b53d64b8a787ec478c9a5b004f389ba00953216

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In Nuclear and High Energy Physics

1. N. Beisert
2. D. Berenstein
3. S. Frolov
4. J. Maldacena
5. A. Tseytlin
6. M. Staudacher
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In Statistical and Nonlinear Physics

1. S. Raju
2. J. Maldacena
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6. S. Frolov
7. N. Beisert
8. S. El-Showk

Citations in the corpus

• The library of Babel: on the origin of gravitational thermodynamics (2005, methodology): “It is interesting that the columns of the Young diagram, which are interpreted as giant graviton D-branes [16, 3, 17, 18, 4, 19], are acting like a gas of bosons despite the fact that we are studying the excitations of a fermionic system.”
• An Index for 4 Dimensional Super Conformal Theories (2005, background): “In the N →∞ and fixed chemical potential the partition functions (6.7), (6.4), (6.3), become independent of N . This limit is most easily evaluated by multiplying the partition functions by (1 − p) 22 and setting p = 1. The entropy then grows as a gas of massless particles in one, two and three dime”
• Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “The set of such half-BPS operators in N = 4 SYM can be described by free fermions [47, 48], and it is convenient to think of these systems as an integer quantum Hall droplet.”
• Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, background): “Half BPS giant gravitons have been studied extensively, see for instance [30, 31, 32, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66].”
• The AdS/CFT correspondence (2014, background): “s of the bulk geometry is in general very dicult, one can in fact retain full control over certain special, but nevertheless rather rich, class of supersymmetric states, describable by free fermions [61,63]. These turn out to have an explicit one-to-one mapping to the so-called LLM geometries [64], ”
• Large N BPS states and emergent quantum gravity (2005, background): “of boxes). This counting captures all of the 1/2 BPS states of the system [ 9 ].”
• PP-wave string interactions from perturbative Yang-Mills theory (2002, methodology): “It was previously observed in [52, 53] that operator mixing and higher genus contributions to correlation functions are important, even as N → ∞ for operators whose size scales with N .”
• Giant Gravitons - with Strings Attached (III) (2007, methodology): “The dual description of giant gravitons is in terms of Schur polynomials in the Higgs fields[14],[15].”
• Meson Spectroscopy in AdS/CFT with Flavour (2003, background): “theory dual of these ‘giant gauge bosons’ is presumably closely related to the subdeterminant operators discussed in [28, 30].”