{"arxiv_id":"hep-th/0611123","incoming":{"papers":69,"sentences":154,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1707.07689","title":"Bounds for OPE coefficients on the Regge trajectory","url":"/paper/1707.07689","section":"Discontinuity of scalar conformal block","sentence":"We will compute the analytic continuation of this block, as $z$ goes around $1$ counter clockwise with $z̅$ held fixed, generalizing the derivation of section (4.3) in [ref] for the case that $_12$ or $_34$ are nonzero ($Δ_ij=Δ_i-Δ_j$).","intent_p":0.99,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":5,"sentences":5,"quotes":[{"arxiv_id":"2102.09549","title":"The Regge limit of AdS$_3$ holographic correlators with heavy states: towards the black hole regime","url":"/paper/2102.09549","section":"The Regge limit of 4-point CFT correlation functions","sentence":"The link between the bulk phase shift [ref] and the CFT data [ref] is made by using the impact parameter representation of 4-point correlation functions in the Regge limit [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1906.08734","title":"Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix","url":"/paper/1906.08734","section":"Introduction and motivation","sentence":"By taking advanced of the all-loop resummation of gravitation scattering in flat space at the eikonal approximation [The eikonal approximation in AdS spaces have been studied in a series of interesting papers [ref] ], we can compute the corresponding resummation of the leading singularity expansion of Witten diagrams [Recently, the Eikonal approximation in flat space has been used to imposed causality constrains on large$-N$ gauge theories in [ref] ].","intent_p":0.85,"contests_p":null},{"arxiv_id":"2012.01515","title":"The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop","url":"/paper/2012.01515","section":"Impact parameter space","sentence":"Next we define, following [ref] , the impact parameter representation as the Fourier transform of the discontinuity of the correlator in the two remaining vectors [The AdS impact parameter representation was previously defined in [ref] as the Fourier transform of the correlator on the second sheet $A(z,^↺)$.","intent_p":0.94,"contests_p":null},{"arxiv_id":"2007.11647","title":"The leading trajectory in the 2+1D Ising CFT","url":"/paper/2007.11647","section":"Implications for anomalous dimensions heavy operators?","sentence":"[ref] , where the $z∼→0$ limit of the correlator is related to $t$-channel operators with large dimension and spin $Δ'∼J' ∼1/√(z)$.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1801.04208","title":"Minkowski Conformal Blocks and the Regge Limit for SYK-like Models","url":"/paper/1801.04208","section":"Eikonal Scattering","sentence":"A convenient way of introducing of this eikonal phase is through a “shock-wave\" treatment for near-forward scattering [ref] .","intent_p":0.81,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":5,"sentences":6,"quotes":[{"arxiv_id":"1705.03453","title":"Conformal Bootstrap in the Regge Limit","url":"/paper/1705.03453","section":"Single-Trace Matching","sentence":"The precise form of the anomalous dimensions also agrees with previous results in $d=4$ for AdS graviton exchange [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1705.02318","title":"Holographic Reconstruction of AdS Exchanges from Crossing Symmetry","url":"/paper/1705.02318","section":"Introduction","sentence":"In the Regge limit, our leading order result matches the bulk computation of $$ as an eikonal scattering phase in [ref] , and reproduces the full structure of the AdS bulk-to-bulk propagator found there; the subleading term is a new prediction.[The leading order result can also be derived by solving the crossing equations directly in the Regge regime [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1912.05580","title":"AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering","url":"/paper/1912.05580","section":"Crossing Symmetry at Tree-Level","sentence":"Finally, in the limit $Δ_gap→∞$, where $j(ν)→2$, our results for the anomalous dimensions and OPE coefficients, [ref] and [ref], reproduce the pure gravity result [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2211.11791","title":"Holographic cameras: an eye for the bulk","url":"/paper/2211.11791","section":"Four-point correlators","sentence":"(1.5) of [ref] and [ref] to the impact parameter representation of [ref] (see also [ref] ).","intent_p":0.9,"contests_p":null},{"arxiv_id":"1212.3616","title":"The Analytic Bootstrap and AdS Superhorizon Locality","url":"/paper/1212.3616","section":"AdS Interpretation","sentence":"A thorough investigation of this connection in the context of gravitational scattering in AdS at large impact parameter was performed in [ref] , and in Appendix [ref] we explicitly compare our results to theirs in the region of overlap.","intent_p":0.96,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1808.00612","title":"$d$-dimensional SYK, AdS Loops, and $6j$ Symbols","url":"/paper/1808.00612","section":"Lorentzian inversion for general spins in two dimensions","sentence":"The important fact for us is that a $t$-channel partial wave has bounded growth in the Regge limit [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2007.11647","title":"The leading trajectory in the 2+1D Ising CFT","url":"/paper/2007.11647","section":"Comments on conformal Regge theory","sentence":"([ref]), generalized from integer spins, and we view the results of [ref] as further supporting that identity.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":36,"sentences":48,"quotes":[{"arxiv_id":"0812.1299","title":"Saturation and Confinement: Analyticity, Unitarity and AdS/CFT Correspondence","url":"/paper/0812.1299","section":"Forward Scattering, Gauge/String Duality and Confinement","sentence":"We focus here on the recent developments in this subject based on Maldacena's weak/strong duality, relating Yang-Mills theories to string theories in (deformed) Anti-de Sitter space [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1912.05580","title":"AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering","url":"/paper/1912.05580","section":"Summary and Outline","sentence":"In Section [ref], we review conformal Regge theory, the Lorentzian inversion formula, and the impact parameter transform [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2404.15056","title":"Energy correlations and Planckian collisions","url":"/paper/2404.15056","section":"Introduction","sentence":"In this paper, we explore a fascinating connection between energy correlations and high-energy gravitational scattering (as well as its unitarization) [ref] in the context of holography [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2105.07778","title":"Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena","url":"/paper/2105.07778","section":"Review of the Regge conformal blocks","sentence":"The explicit form of $G^Regge_Δ, ℓ(z, z̅)$ is [ref] [equation] We comment on the condition $Δ+ℓ>1$.","intent_p":0.82,"contests_p":null},{"arxiv_id":"1702.05502","title":"Inclusive Production Through AdS/CFT","url":"/paper/1702.05502","section":"Introduction","sentence":"The effects of conformal symmetry on QCD have previously been studied in inclusive scattering in both the fixed-angle [ref] and in the near-forward limits [ref] .","intent_p":0.95,"contests_p":null}]}],"unlabelled_sentences":92},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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/hep-th/0611123"}}