{"arxiv_id":"1306.5106","incoming":{"papers":21,"sentences":46,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1512.08761","title":"Massless L\\\"uscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz","url":"/paper/1512.08761","section":"Introduction","sentence":"However the dressing phase constructed this way does not solve the crossing equations [ref] , nor does it agree with a construction from semiclassical magnon scattering [ref] , nor give the amplitude seen in near-BMN scattering [ref] .","intent_p":0.69,"contests_p":0.85}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":3,"quotes":[{"arxiv_id":"1512.08761","title":"Massless L\\\"uscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz","url":"/paper/1512.08761","section":"Bethe Ansatz calculation","sentence":"Multiplying by the relevant weight and integrating over the cut, [ref] obtained this expression in terms of resolvents:[We write tildes on quantities defined to match [ref] , which differ from those in the S-matrix and dressing phase papers [ref] by powers of $$.","intent_p":0.91,"contests_p":null},{"arxiv_id":"1308.1370","title":"Scattering in AdS(2)/CFT(1) and the BES Phase","url":"/paper/1308.1370","section":"Introduction","sentence":"We also observe that truncating the model to just the massive modes breaks the agreement with the HL phase. * We also compute the phase semiclassically, using the coset model and the algebraic curve, following [ref] .","intent_p":0.82,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":3,"quotes":[{"arxiv_id":"1308.1370","title":"Scattering in AdS(2)/CFT(1) and the BES Phase","url":"/paper/1308.1370","section":"The Semiclassical Dressing Phase","sentence":"Then we compute the correction [ref] [equation] finding the same coefficients as in [ref] : [equation] This is exactly the same result as in $AdS_5×S^5$, including the factors of 2.","intent_p":0.97,"contests_p":null},{"arxiv_id":"1612.04613","title":"Finite-size Effect for Dyonic Giant Magnons in $CP^3_{\\beta}$","url":"/paper/1612.04613","section":"Fix the twists from orbifolding","sentence":"This leads to Δϕ_1=Δϕ_2=Δϕ_5=0, Δϕ_3=Δϕ_4=-p/2, exactly the same as the results given in [ref] (see also [ref] ).","intent_p":0.81,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":13,"sentences":14,"quotes":[{"arxiv_id":"1412.6863","title":"An improved AFS phase for AdS3 string integrability","url":"/paper/1412.6863","section":"Introduction","sentence":"The dressing phase for $AdS_3$ backgrounds is different, and is now understood quite well at one loop [ref] ; see also [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1403.1449","title":"Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)","url":"/paper/1403.1449","section":"Conclusions and summary","sentence":"The one-loop part of the phase was first proposed in [ref] and later modified with additional terms in [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2209.07379","title":"Neumann-Rosochatius system for rotating strings in $AdS_3 \\times S^3\\times S^3\\times S^1$ with flux","url":"/paper/2209.07379","section":"Introduction","sentence":"Conventionally, there occur two plausible integrable set-ups in the case of $AdS_3/CFT_2$ [ref] namely the type IIB GS string construction in $AdS_3×S^3×ℳ^4$, $ℳ^4≡T^4$ [ref] or $S^3×S^1$ [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1308.1370","title":"Scattering in AdS(2)/CFT(1) and the BES Phase","url":"/paper/1308.1370","section":"Introduction","sentence":"More recently there has been much interest in $AdS_3×S^3×T^4$ and the related $AdS_3×S^3×S^3×S^1$ background [ref] , with 16 supersymmetries.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1311.1794","title":"Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux","url":"/paper/1311.1794","section":"Zhukovsky variables","sentence":"Here we will not address the issue of these factors, which is still an open question for the mixed-flux case, i.e. will leave them unfixed.[For the pure R-R case there have been a number of works studying these overall factors [ref] , leading to a conjecture in [ref] .","intent_p":0.97,"contests_p":null}]}],"unlabelled_sentences":24},"outgoing":{"papers":67,"sentences":164,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":3,"quotes":[{"arxiv_id":"0707.0668","title":"Quantum Scattering of Giant Magnons","url":"/paper/0707.0668","section":"Deriving the One-Loop Phase","sentence":"To derive ([ref]), Chen, Dorey and Lima Matos [ref] studied a classical scattering state $φ_1,2(x,t)$ of two magnons in a box of size $L$, and calculated $1/L$ corrections to the one-loop energy correction ([ref]).","intent_p":0.91,"contests_p":null},{"arxiv_id":"hep-th/0602214","title":"Exact expressions for quantum corrections to spinning strings","url":"/paper/hep-th/0602214","section":"$AdS_3$ Magnon Scattering","sentence":"The integrals we need to do arise from sums over $n$ using the method of [ref] , which uses the poles of $(πn)$ to write a contour integral.","intent_p":1.0,"contests_p":null}]},{"kind":"data_used","label":"Uses data or values from","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1211.5587","title":"Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop","url":"/paper/1211.5587","section":"$AdS_3$ Magnon Scattering","sentence":"These were calculated in [ref] for the purpose of finding energy corrections ([ref]), and they are written in terms of the spectral parameter as [equation] These are shown in table [ref]; see appendix [ref] for details.","intent_p":0.97,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":9,"quotes":[{"arxiv_id":"1306.2512","title":"Dressing phases of AdS3/CFT2","url":"/paper/1306.2512","section":"Summary and Conclusions","sentence":"The result, when expanded in the charges $Q_n$, is precisely one half the coefficients found by BOSST [ref] from their all-loop dressing phase for $AdS_3×S^3×T^4$.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1211.6090","title":"Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase","url":"/paper/1211.6090","section":"Summary and Conclusions","sentence":"The near-flat-space limit calculation of [ref] found agreement with the phase given by [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1302.5349","title":"Worldsheet scattering in AdS(3)/CFT(2)","url":"/paper/1302.5349","section":"Summary and Conclusions","sentence":"The near-flat-space limit calculation of [ref] found agreement with the phase given by [ref] .","intent_p":0.86,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":40,"sentences":54,"quotes":[{"arxiv_id":"1212.0505","title":"All-loop Bethe ansatz equations for AdS3/CFT2","url":"/paper/1212.0505","section":"Introduction","sentence":"We are mostly concerned with the light modes, $m=cos^2ϕ,sin^2ϕ$, as these are fundamental in the description of [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1211.5119","title":"A dynamic su(1|1)^2 S-matrix for AdS3/CFT2","url":"/paper/1211.5119","section":"Introduction","sentence":"We are mostly concerned with the light modes, $m=cos^2ϕ,sin^2ϕ$, as these are fundamental in the description of [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"hep-th/0509084","title":"On Quantum Corrections to Spinning Strings and Bethe Equations","url":"/paper/hep-th/0509084","section":"Introduction","sentence":"The dressing phase was first introduced by Arutyunov, Frolov and Staudacher (AFS) [ref] for classical strings (large $λ$), and the extension of this to one loop by Hernández and López [ref] (see also [ref] ) was an important step towards the all-$λ$ phase, conventionally $(σ_BES)^2$.","intent_p":0.96,"contests_p":null},{"arxiv_id":"hep-th/0604069","title":"A Universality Test of the Quantum String Bethe Ansatz","url":"/paper/hep-th/0604069","section":"Introduction","sentence":"The dressing phase was first introduced by Arutyunov, Frolov and Staudacher (AFS) [ref] for classical strings (large $λ$), and the extension of this to one loop by Hernández and López [ref] (see also [ref] ) was an important step towards the all-$λ$ phase, conventionally $(σ_BES)^2$.","intent_p":0.96,"contests_p":null},{"arxiv_id":"hep-th/0603204","title":"Quantum corrections to the string Bethe ansatz","url":"/paper/hep-th/0603204","section":"Introduction","sentence":"The dressing phase was first introduced by Arutyunov, Frolov and Staudacher (AFS) [ref] for classical strings (large $λ$), and the extension of this to one loop by Hernández and López [ref] (see also [ref] ) was an important step towards the all-$λ$ phase, conventionally $(σ_BES)^2$.","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":96},"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/1306.5106"}}