{"arxiv_id":"0707.2082","incoming":{"papers":16,"sentences":33,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"0711.3600","title":"A note on the Near Flat Limit for strings in the Maldacena-Nunez background","url":"/paper/0711.3600","section":"The softly broken model","sentence":"If true, the techniques of [ref] will be also universal within the class of NFS reduced models.","intent_p":0.8,"contests_p":null},{"arxiv_id":"1006.3494","title":"On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities","url":"/paper/1006.3494","section":"The world-sheet S-matrix factorization","sentence":"The strategy adopted in [ref] is to verify the presence (or the absence) of the dynamical constraints which define an integrable two-dimensional field theory: absence of particle production, elastic scatterings, S-matrix factorization.","intent_p":0.91,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0806.1786","title":"Iterative Structure of the N=4 SYM Spin Chain","url":"/paper/0806.1786","section":"Introduction","sentence":"The asymptotic Bethe equations also pass multiple tests in the near-flat-space limit [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1307.3506","title":"Comments on World-Sheet Form Factors in AdS/CFT","url":"/paper/1307.3506","section":"Near-Flat World-Sheet Theory","sentence":"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] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"0808.2489","title":"On S-Matrix factorization of the Landau-Lifshitz model","url":"/paper/0808.2489","section":"Introduction","sentence":"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] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"0905.4702","title":"Factorized Tree-level Scattering in AdS_4 x CP^3","url":"/paper/0905.4702","section":"Introduction","sentence":"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] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"0707.3264","title":"Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection","url":"/paper/0707.3264","section":"Introduction and Summary","sentence":"Technical simplifications allow us to test some conjectures considering integrability of the string theory on $AdS_5×S^5$ [For some related works, see [ref] .].","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":26},"outgoing":{"papers":73,"sentences":109,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"nlin/0610017","title":"The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry","url":"/paper/nlin/0610017","section":"Conclusions and outlook","sentence":"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.","intent_p":0.91,"contests_p":null},{"arxiv_id":"hep-th/9810026","title":"Exact S-matrices","url":"/paper/hep-th/9810026","section":"Introduction","sentence":"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.","intent_p":0.98,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0704.3891","title":"World-sheet scattering in AdS_5 x S^5 at two loops","url":"/paper/0704.3891","section":"$Ψ_13̇(a) Ψ_13̇(b) Ψ_13̇(c) →Ψ_13̇(d) Ψ_13̇(e) Ψ_13̇(f)$","sentence":"These are given by the two-particle S-matrix elements computed in [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-th/9810026","title":"Exact S-matrices","url":"/paper/hep-th/9810026","section":"Tree-level","sentence":"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] .","intent_p":0.93,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":33,"sentences":38,"quotes":[{"arxiv_id":"hep-th/0612229","title":"The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring","url":"/paper/hep-th/0612229","section":"The near-flat-space model","sentence":"The S-matrix for the AdS/CFT particle model was constructed from symmetries in [ref] , and written in the string basis in [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"hep-th/0511082","title":"The su(2|2) Dynamic S-Matrix","url":"/paper/hep-th/0511082","section":"The near-flat-space model","sentence":"The S-matrix for the AdS/CFT particle model was constructed from symmetries in [ref] , and written in the string basis in [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"hep-th/0412188","title":"The Factorized S-Matrix of CFT/AdS","url":"/paper/hep-th/0412188","section":"Introduction","sentence":"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] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"hep-th/0504190","title":"Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings","url":"/paper/hep-th/0504190","section":"Introduction","sentence":"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] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"hep-th/0612079","title":"Connecting giant magnons to the pp-wave: An interpolating limit of $AdS_5 \\times S^5$","url":"/paper/hep-th/0612079","section":"The near-flat-space model","sentence":"However, in the near-flat limit introduced by Maldacena and Swanson [ref] , the theory simplifies drastically but without becoming trivial.","intent_p":0.84,"contests_p":null}]}],"unlabelled_sentences":67},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/0707.2082"}}