{"arxiv_id":"hep-th/0204254","incoming":{"papers":205,"sentences":398,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2109.14624","title":"Systematics of type IIB moduli stabilisation with odd axions","url":"/paper/2109.14624","section":"An apparent mismatch in the standard approach","sentence":"This form of scalar potential represents an odd moduli generalisation of the results of [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2202.04087","title":"The LVS Parametric Tadpole Constraint","url":"/paper/2202.04087","section":"The LVS Parametric Tadpole Constraint","sentence":"One uses the warped metric ansatz [equation] together with the term [equation] from the $R^4_10$ correction to the type-IIB action [ref] in 10d Einstein frame.","intent_p":0.92,"contests_p":null},{"arxiv_id":"2607.29520","title":"Penumbral Inflation from Calabi-Yau Boundaries","url":"/paper/2607.29520","section":"Introduction","sentence":"The Becker Becker Haack Louis(BBHL) correction to the Kähler geometry is combined with the Kachru Kallosh Linde Trivedi (KKLT)nonperturbative sector to calculate the volume response, barrier, and Schur correction [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1107.2115","title":"A sufficient condition for de Sitter vacua in type IIB string theory","url":"/paper/1107.2115","section":"`Kähler uplifting' – a meta-stable dS vacuum for the Kähler modulus","sentence":"Following [ref] we can write the resulting scalar potential in the following form [equation]","intent_p":0.85,"contests_p":null},{"arxiv_id":"2312.07674","title":"Topology change and non-geometry at infinite distance","url":"/paper/2312.07674","section":"Future directions","sentence":"Although extremely challenging, a possible way towards harnessing these correction would be to use the technology in e.g. [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0802.1014","title":"Volume modulus inflation and a low scale of SUSY breaking","url":"/paper/0802.1014","section":"Corrections to Kähler potential","sentence":"The leading $α'$-corrections were computed in [ref] and the coefficient $ξ_α'$ was found to be of the following form: [equation] where $χ$ is the Euler number of the compactification manifold and $ϕ_0$ is the expectation value of the dilaton (which we assume to be stabilized by fluxes).","intent_p":0.92,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":9,"sentences":12,"quotes":[{"arxiv_id":"1608.01300","title":"The Euler characteristic correction to the Kaehler potential - revisited","url":"/paper/1608.01300","section":"Conclusions","sentence":"We reproduced the result of Becker, Becker, Haack, and Louis (BBHL) [ref] by showing that a correction to the Kähler potential emerges, which is proportional to the Euler characteristic of the leading order Calabi-Yau threefold background.","intent_p":0.87,"contests_p":null},{"arxiv_id":"1901.04758","title":"F-theory Vacua and $\\alpha'$-Corrections","url":"/paper/1901.04758","section":"Introduction","sentence":"The vacua are obtained due to an interplay of the Euler-Characteristic correction [ref] and the $α'^2$-corrections to the scalar potential.[ The form of the scalar potential due to the $α'^2$-correction obtained in [ref] is similar to the one obtained at order $α'^3$ in [ref] .] We close by emphasizing that the discussion can be performed analogously for Calabi–Yau fourfolds with $χ(B_3) > 0$ which leads to de Sitter extrema.","intent_p":0.92,"contests_p":null},{"arxiv_id":"2302.12117","title":"On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential","url":"/paper/2302.12117","section":"Introduction","sentence":"As a non-trivial cross-check of the prescription, we will find the perfect match between the torus amplitude we compute in [ref] with by now a very well-established result in the literature [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2005.11329","title":"A Systematic Approach to K\\\"ahler Moduli Stabilisation","url":"/paper/2005.11329","section":"A master formula for the scalar potential","sentence":"Notice that $V_𝒪(α'^3)$ reproduces the known $𝒪(α'^3)$ contribution to the potential first derived in [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2203.03362","title":"Stabilising all K\\\"ahler moduli in perturbative LVS","url":"/paper/2203.03362","section":"Computation of the Kähler metric and its inverse","sentence":"Similarly for the case of BBHL's $α^'$ corrections [ref] being included, we have the following simplified expressions for $P_i$ and $P̃_i$ which matches with those claimed in [ref] ,","intent_p":0.89,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":2,"sentences":3,"quotes":[{"arxiv_id":"2106.04592","title":"Systematics of the $\\alpha'$ Expansion in F-Theory","url":"/paper/2106.04592","section":"Conclusions","sentence":"Due to the absence of $(α')^1$ corrections in 10D and 8D, and the fact that $(α')^2$ corrections enjoy an extended no-scale cancellation [ref] , we deduced that the dominant no-scale breaking effects at string tree-level arise from known $(α')^3$ corrections [ref] modulo potential logarithmic corrections.","intent_p":0.98,"contests_p":null},{"arxiv_id":"2604.16281","title":"Recent progress on inflation and dark energy from string theory","url":"/paper/2604.16281","section":"Inflating with string moduli","sentence":"As confirmed by several studies, the leading no-scale breaking effects are $𝒪(α'^3)$ corrections which lift only $𝒱$ [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":61,"sentences":71,"quotes":[{"arxiv_id":"1509.00024","title":"Starobinsky-Type Inflation from $\\alpha'$-Corrections","url":"/paper/1509.00024","section":"The Large Volume Scenario","sentence":"Our starting point is the large volume limit of the low-energy 4D $𝒩=1$ - effective action of type IIB Calabi-Yau-orientifold compactifications with background fluxes [ref] including the leading order $(α')^3$-corrections to the bulk fields [ref] and string-loop corrections [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"0707.0105","title":"Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes, (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese Calabi-Yau's","url":"/paper/0707.0105","section":"Non-supersymmetric dS minimum via Non-perturbative $α^'$- and Instanton Corrections","sentence":"Let us begin with a summary of the inclusion of perturbative $α^'$-corrections to the Kähler potential in type IIB string theory compactified on Calabi-Yau three-folds with NS-NS and RR fluxes turned on, as discussed in [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2406.01694","title":"Global Embedding of Fibre Inflation in Perturbative LVS","url":"/paper/2406.01694","section":"LVS schemes of moduli stabilisation","sentence":"Perturbative LVS: With the inclusion of the so-called log-loop effects [ref] along with the BBHL corrections [ref] , the Kähler potential $K$ is given by Eq. ([ref]) with $Y = V + ξ̂/2 + η̂(lnV -1)$, where $ξ̂= ξ/g_s^3/2$, and $η̂= -g_s^2ξ̂ ζ[2]/ζ[3]$.","intent_p":0.92,"contests_p":null},{"arxiv_id":"2212.07437","title":"$\\alpha'$ corrections to KPV: An uplifting story","url":"/paper/2212.07437","section":"The Parametric Tadpole Constraint","sentence":"The Kahler potential reads [ref] [equation] where $g_s$ is the string coupling, $χ$ the Euler number of the Calabi-Yau and $ζ(3)≈1.2$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"0809.5149","title":"On Issues in Swiss Cheese Compactifications","url":"/paper/0809.5149","section":"Non-supersymmetric dS minimum via Non-perturbative $α^'$- and Instanton Corrections","sentence":"Let us begin with a summary of the inclusion of perturbative $α^'$-corrections to the Kähler potential in type IIB string theory compactified on Calabi-Yau three-folds with NS-NS and RR fluxes turned on, as discussed in [ref] .","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":306},"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. 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