{"arxiv_id":"1306.4918","incoming":{"papers":23,"sentences":33,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2108.04370","title":"T-duality and hints of generalized geometry in string $\\alpha'$ corrections","url":"/paper/2108.04370","section":"Introduction","sentence":"The cosmological reduction idea of [ref] provides a systematic method of testing T-duality invariance of higher derivative couplings.","intent_p":0.88,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":5,"sentences":5,"quotes":[{"arxiv_id":"1507.00652","title":"T-duality and $\\alpha'$-corrections","url":"/paper/1507.00652","section":"From Bergshoeff-de Roo to Metsaev-Tseytlin","sentence":"The last block of terms with coefficient $a + b$ is even under $Z_2$-parity, and exactly agrees with the results in [ref] , where it was shown to coincide modulo field redefinitions and boundary terms with the Metsaev-Tseytlin form of the action [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2210.16593","title":"T-duality building blocks for $\\alpha'$ string corrections","url":"/paper/2210.16593","section":"The bosonic string at $𝒪(α')$","sentence":"This torus reduced Lagrangian, ([ref]), agrees with [ref] as well as [ref] after appropriate field redefinitions.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1912.01700","title":"Green-Schwarz Mechanism for String Dualities","url":"/paper/1912.01700","section":"Introduction","sentence":"Once truncated to scalars only (i.e. setting $A_μ^M=0=B_μν$, $g_μν=η_μν$), the action ([ref]) reduces to two terms which provide an equivalent compact rewriting of the action given in Ref. [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2004.13140","title":"Duality Invariance and Higher Derivatives","url":"/paper/2004.13140","section":"invariance and a Green-Schwarz type mechanism","sentence":"Let us comment on the relation to Ref. [ref] , where a similar analysis of the first order $α'$-corrections is performed, however restricted to the scalar sector, i.e. setting $A_μ^(1) m =A_μ m^(2)=B_μν=0$, $g_μν=η_μν$ .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1510.00005","title":"T-duality Constraints on Higher Derivatives Revisited","url":"/paper/1510.00005","section":"Introduction","sentence":"A similar analysis of the T-duality constraints on $α'$ corrections was recently given by Godazgar and Godazgar [ref] , who consider the reduction on an arbitrary $d$-dimensional torus but truncate to the scalar degrees of freedom, hence giving a necessary but not sufficient condition for T-duality.","intent_p":0.91,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":7,"sentences":7,"quotes":[{"arxiv_id":"2108.04370","title":"T-duality and hints of generalized geometry in string $\\alpha'$ corrections","url":"/paper/2108.04370","section":"Cosmological reduction and T-duality","sentence":"Before turning to a reexamination of the eight-derivative couplings in the type II effective action, we review the cosmological reduction of [ref] and the investigation of T-duality invariance in the scalar sector of the reduced theory.","intent_p":0.88,"contests_p":null},{"arxiv_id":"1912.01700","title":"Green-Schwarz Mechanism for String Dualities","url":"/paper/1912.01700","section":"Introduction","sentence":"In Ref. [ref] the case of a single circle was investigated, while Ref. [ref] includes a general torus but truncates to `internal' field degrees of freedom.","intent_p":0.84,"contests_p":null},{"arxiv_id":"1810.01427","title":"The generalized Bergshoeff-de Roo identification","url":"/paper/1810.01427","section":"Introduction","sentence":"Many methods have been proposed to learn about higher derivative interactions based on the way in which duality organizes the lower dimensional theories [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"1612.06453","title":"Background Independent Double Field Theory at Order $\\alpha'$: Metric vs. Frame-like Geometry","url":"/paper/1612.06453","section":"Discussion and Outlook","sentence":"While to lowest order in $α'$, at the two-derivative level, this can be achieved in a relatively straightforward manner [ref] , to higher order in $α'$ it becomes exceedingly tedious and so far has only been worked out in `cosmological reductions' to one dimension [ref] or subject to further truncations [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"1708.02805","title":"Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude","url":"/paper/1708.02805","section":"Introduction","sentence":"Higher-derivative corrections to string theories and M-theory are significantly studied in various ways: string amplitude [ref] , non-linear sigma model [ref] , superfield and noether's method [ref] , duality completion [ref] and so on.","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":20},"outgoing":{"papers":39,"sentences":58,"groups":[{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0904.4664","title":"Double Field Theory","url":"/paper/0904.4664","section":"Duality group element","sentence":"Further evidence for the fact that the duality coset in string theory must be corrected comes from generalised geometry and double field theory [ref] .","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":27,"sentences":35,"quotes":[{"arxiv_id":"hep-th/9207016","title":"Noncompact Symmetries in String Theory","url":"/paper/hep-th/9207016","section":"O$(d,d)/$O$(d)×$O$(d)$ group element","sentence":"The duality group element for O$(d,d)$ is well known from the literature [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"hep-th/0611318","title":"Duality Groups, Automorphic Forms and Higher Derivative Corrections","url":"/paper/hep-th/0611318","section":"Introduction","sentence":"Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"hep-th/9910115","title":"Eisenstein Series in String Theory","url":"/paper/hep-th/9910115","section":"Introduction","sentence":"Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"0911.0255","title":"T-duality of curvature terms in D-brane actions","url":"/paper/0911.0255","section":"Introduction","sentence":"Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1001.2535","title":"Automorphic properties of low energy string amplitudes in various dimensions","url":"/paper/1001.2535","section":"Introduction","sentence":"Using duality symmetries to understand new aspects of the theory, such as constraining or determining higher derivative corrections, is not a new idea and indeed significant work has been done in this regard[A non-exhaustive list of references on duality and higher derivative corrections in the context of string/M-theory includes [ref] .","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":22},"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/1306.4918"}}