{"arxiv_id":"1304.7488","incoming":{"papers":4,"sentences":12,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2408.13803","title":"Gravitational Waves from High Temperature Strings","url":"/paper/2408.13803","section":"Graviton emission amplitude in flat backgrounds","sentence":"We thus conclude that we can use the results of [ref] in a warped background (under the usual assumptions), provided we modify the couplings and the effective string scale appropriately.","intent_p":0.92,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2408.13803","title":"Gravitational Waves from High Temperature Strings","url":"/paper/2408.13803","section":"Peak amplitude","sentence":"We will take $T_H = ΥM_s/ 2π√(2)$ ($Υ=1$ corresponds to the value the Hagedorn temperature in [ref] ).","intent_p":0.88,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2408.13803","title":"Gravitational Waves from High Temperature Strings","url":"/paper/2408.13803","section":"Graviton radiation in compactifications","sentence":"(For comparison, note that the decay rates quoted in [ref] specify the level $N'$ of the product string, as in our [ref].)","intent_p":0.96,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2309.15021","title":"Quantum Cosmology and Black Hole Interiors in Nonsupersymmetric String Theory and Canonical Gravity","url":"/paper/2309.15021","section":"String aspects","sentence":"Thus the decay of these string modes can yield a high temperature yet homogeneous equation of state in the early Universe with Hagedorn initial temperature [ref] [ref] [ref] [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2408.13803","title":"Gravitational Waves from High Temperature Strings","url":"/paper/2408.13803","section":"Gravitational wave emission from long strings","sentence":"Having understood the relative strength of the interactions, in section [ref] we review the computation of the decay rate of a typical string into gravitons, which has been carried out in the bosonic [ref] and supersymmetric [ref] case at leading order in string perturbation theory in flat backgrounds.","intent_p":0.92,"contests_p":null},{"arxiv_id":"2410.07350","title":"Gravitational Waves from the Hagedorn Phase","url":"/paper/2410.07350","section":"Graviton emission and the GW spectrum","sentence":"The computation of graviton emission by typical strings in flat backgrounds has been carried out in the bosonic [ref] and supersymmetric [ref] case at leading order in string perturbation theory in flat backgrounds [ A technical subtlety regarding this computation has recently been raised [ref] .","intent_p":0.8,"contests_p":null}]}],"unlabelled_sentences":6},"outgoing":{"papers":12,"sentences":16,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":3,"quotes":[{"arxiv_id":"hep-th/9901092","title":"Fundamental Strings as Black Bodies","url":"/paper/hep-th/9901092","section":"Open string emission from an open superstring","sentence":"We need to include the twisted sector as in [ref] , by replacing the vertex operator as $V(γ,k) →(V(γ,k) + ΘV(γ,k) Θ)/√(2)$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"0712.4062","title":"Production cross section of rotating string","url":"/paper/0712.4062","section":"Open-string vertex operators in open superstring theory","sentence":"Let us calculate the $M$-point function of the following operator: [equation] by use of the standard coherent state method [ref] .","intent_p":0.94,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"hep-th/9901092","title":"Fundamental Strings as Black Bodies","url":"/paper/hep-th/9901092","section":"Summary of the results and discussion","sentence":"(This fact has already been pointed out by Amati and Russo [ref] for the bosonic string case.) As for fermion emissions, $σ_FB$ is slightly different from the one calculated in [ref] by a factor of $ω$, which may be due to a formal $s$-wave limit discussed later, but the exponential factors are the same.","intent_p":0.95,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":5,"sentences":5,"quotes":[{"arxiv_id":"hep-th/0210245","title":"The decay of massive closed superstrings with maximum angular momentum","url":"/paper/hep-th/0210245","section":"Introduction","sentence":"Since then, there have been many works on this type of analysis for boson emission of an NS-R superstring and also closed string states emission from a heavy closed string [ref] , especially on the decay rate of maximally angular momentum states with interest in searching for possible long-lived states [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"hep-th/0504040","title":"The Fate of Massive F-Strings","url":"/paper/hep-th/0504040","section":"Introduction","sentence":"Since then, there have been many works on this type of analysis for boson emission of an NS-R superstring and also closed string states emission from a heavy closed string [ref] , especially on the decay rate of maximally angular momentum states with interest in searching for possible long-lived states [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"hep-th/0109196","title":"Emission Spectrum of Fundamental Strings: An Algebraic Approach","url":"/paper/hep-th/0109196","section":"Introduction","sentence":"Since then, there have been many works on this type of analysis for boson emission of an NS-R superstring and also closed string states emission from a heavy closed string [ref] , especially on the decay rate of maximally angular momentum states with interest in searching for possible long-lived states [ref] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"0712.4062","title":"Production cross section of rotating string","url":"/paper/0712.4062","section":"Introduction","sentence":"Some other applications of this procedure for the cross section of strings are found in [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"0909.1617","title":"Massless radiation from heavy rotating string and Kerr/string correspondence","url":"/paper/0909.1617","section":"Introduction","sentence":"Some other applications of this procedure for the cross section of strings are found in [ref] .","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":7},"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/1304.7488"}}