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Matching three-point functions of BMN operators at weak and strong coupling
High Energy Physics - Theory · Submitted 13 Apr 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta.
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The abstract, sentence by sentence
The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two completely independent ways: in field theory by using the large-$N$ perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. The two results come out to be completely identical.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. | result 0.74 | 0.88 | 0.82 | asserted 1.00 |
| s1 | The calculation is performed in two completely independent ways: in field theory by using the large-$N$ perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. | method 0.99 | 0.91 | 0.08 | asserted 1.00 |
| s2 | The two results come out to be completely identical. | result 0.99 | 0.92 | 0.75 | asserted 1.00 |
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The paper
Original abstract
The agreement between string theory and field theory is demonstrated in the leading order by providing the first calculation of the correlator of three two-impurity BMN states with all non-zero momenta. The calculation is performed in two completely independent ways: in field theory by using the large-$N$ perturbative expansion, up to the terms subleading in finite-size, and in string theory by using the Dobashi-Yoneya 3-string vertex in the leading order of the Penrose expansion. The two results come out to be completely identical.
Human review
How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 3 papers
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There are also results showing matching between the weak and strong coupling limits for certain operators [ref] .
Holographic three-point functions for short operators · Introduction · 0.89
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Some progress on the inclusion of loop corrections in the case of $N=4$ SYM was recently achieved in [ref] .
On Three-point Functions in the AdS_4/CFT_3 Correspondence · Conclusion · 0.87
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Studies using other approaches can be found in [ref] .
On membrane interactions and a three-dimensional analog of Riemann surfaces · Introduction · 0.99
What it cites · 23 sentences without a confident label
Uses the method or tool of 1 paper
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With all normalizations taken into account, the conjectureconje will boil down to the following working formula that is given by Dobashi and Yoneya [ref] and rewritten in our notations at the leading-order in the large $μ$ limit as (see their eq.
Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations · The three-point BMN correlator from string theory · 0.83
Cites as background 25 papers
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We can say we know almost everything about the LLL; correlators from quite some time [ref] the HLL correlators are a bit exotic, they are mostly known from the gauge theory side [ref] ; the HHL starting from [ref] have recently been and continue to be an object of thorough research on both integrability/field theory and string theory sides; there have been some very promising attempts to construct also HHH correlators both from string [ref] and gauge theory sides [ref] .
Operator mixing and three-point functions in N=4 SYM · Correlators of BMN operators · 0.97
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We can say we know almost everything about the LLL; correlators from quite some time [ref] the HLL correlators are a bit exotic, they are mostly known from the gauge theory side [ref] ; the HHL starting from [ref] have recently been and continue to be an object of thorough research on both integrability/field theory and string theory sides; there have been some very promising attempts to construct also HHH correlators both from string [ref] and gauge theory sides [ref] .
Holographic three-point functions of semiclassical states · Correlators of BMN operators · 0.97
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We can say we know almost everything about the LLL; correlators from quite some time [ref] the HLL correlators are a bit exotic, they are mostly known from the gauge theory side [ref] ; the HHL starting from [ref] have recently been and continue to be an object of thorough research on both integrability/field theory and string theory sides; there have been some very promising attempts to construct also HHH correlators both from string [ref] and gauge theory sides [ref] .
On three-point correlation functions in the gauge/gravity duality · Correlators of BMN operators · 0.97
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