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Factorized world-sheet scattering in near-flat AdS_5 x S^5

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Valentina Giangreco Marotta Puletti, Thomas Klose, Olof Ohlsson Sax

High Energy Physics - Theory · Submitted 16 Jul 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order.

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arXiv ID0707.2082 (version 2)
Pith IDLSY4PRYK, Pith's permanent record of this paper and its review
CitationOlof Ohlsson Sax, Thomas Klose, Valentina Giangreco Marotta Puletti. "Factorized world-sheet scattering in near-flat AdS_5 x S^5." arXiv:0707.2082 (2007). https://pith.science/paper/LSY4PRYK
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,039 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.59 · compares with prior results 0.23 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS_5 x S^5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. result 0.81 0.96 0.92 asserted 1.00
s1 This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. method 1.00 0.93 0.03 asserted 0.99
s2 The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. method 0.42 0.85 0.12 asserted 0.63
s3 We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. result 0.94 0.94 0.63 asserted 1.00
s4 This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS_5 x S^5 as it renders evidence for the existence of higher conserved charges. interpretation 1.00 0.79 0.23 asserted 0.62
s5 By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model. result 0.73 0.94 0.04 asserted 0.63

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.70.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We show the factorization of the three-particle world-sheet S-matrix of AdS_5 x S^5 superstring theory in the near-flat-space limit at one loop order. This is done by computing various scattering amplitudes from Feynman diagrams in the world-sheet theory. The knowledge of certain highest weight amplitudes allows us to fix all the freedom in the three-particle S-matrix, which we argue to be constrained up to four scalar functions due to the symmetries of the model. We demonstrate that these amplitudes are given by corresponding products of the known two-particle S-matrix elements, from which it follows that the scattering of any three world-sheet excitations factorizes. This provides an explicit and direct check of the quantum integrability of string theory in near-flat AdS_5 x S^5 as it renders evidence for the existence of higher conserved charges. By computing further amplitudes we also obtain an indirect confirmation of the supersymmetries of the near-flat-space model.

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References
How the literature uses it

16 arXiv papers cite this in 33 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 26 sentences without a confident label

Uses its method or tool 2 papers
Cites it as support 1 paper
Cites it as background 4 papers
  • For further details on the derivation and the quantization of the model, we refer to our one-loop form factor computation [ref] , to the perturbative S-matrix calculations [ref] and, of course, to the original work [ref] .

    Comments on World-Sheet Form Factors in AdS/CFT · Near-Flat World-Sheet Theory · 0.94

  • The LL and FR models, as well as a number of other models, arising in various limits of the full $AdS_5×S^5$ string, have recently been considered as two-dimensional field theories, and the corresponding S-matrices have been obtained by means of perturbative calculations [ref] .

    On S-Matrix factorization of the Landau-Lifshitz model · Introduction · 0.81

  • The truncation of the $AdS_5 ×S^5$ string action to the near flat space limit and the calculation of its scattering amplitudes up to two loops have been performed in [ref] .

    Factorized Tree-level Scattering in AdS_4 x CP^3 · Introduction · 0.85

What it cites · 67 sentences without a confident label

Uses the method or tool of 2 papers
  • We have used general arguments from the representation theory of $(2|2)^2⋉^3$ [ref] to relate the various elements of the three-particle S-matrix and show the factorization from a minimal number of amplitudes.

    The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry · Conclusions and outlook · 0.91

  • This divergence is regularized by the $i$-prescription and the residue is extracted using [ref] [equation] The principal value terms cancel and the amplitude acquires a further $δ$-function, which together with the $δ$-functions from energy-momentum conservation forces each out-momen­tum to be equal to one of the in-momenta.

    Exact S-matrices · Introduction · 0.98

Uses data or values from 1 paper
Compares with 1 paper
  • It is interesting to compare the result [ref] to the corresponding result in $ϕ^4$-theory which is reviewed in the context of integrability in [ref] .

    Exact S-matrices · Tree-level · 0.93

Cites as background 33 papers
  • The S-matrix for the AdS/CFT particle model was constructed from symmetries in [ref] , and written in the string basis in [ref] .

    The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring · The near-flat-space model · 0.93

  • The S-matrix for the AdS/CFT particle model was constructed from symmetries in [ref] , and written in the string basis in [ref] .

    The su(2|2) Dynamic S-Matrix · The near-flat-space model · 0.93

  • The asymptotic AdS/CFT spectrum of long strings and heavy operators is then encoded in Bethe equations [ref] which derive from the S-matrix that describes the interactions of these particles [ref] .

    The Factorized S-Matrix of CFT/AdS · Introduction · 0.88

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