{"arxiv_id":"hep-th/9605150","incoming":{"papers":219,"sentences":368,"groups":[{"kind":"extends","label":"Builds on it","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2211.00210","title":"On the intermediate Jacobian of M5-branes","url":"/paper/2211.00210","section":"Introduction","sentence":"To address this problem, in this paper we continue the work of [ref] and devise an algorithm to compute the Hodge numbers of toric vertical divisors $D$ in Calabi-Yau fourfolds $Y_4$ that are elliptic fibrations over coordinate flip O3/O7-orientifolds of toric hypersurface Calabi-Yau threefolds $B_3 = Z_3/Z_2$.[In F-theory compactifications, we refer to a Sen limit [ref] such that the string coupling is finite and all D7-brane stacks carry $SO(8)$ gauge bundle as the “global Sen limit”.","intent_p":0.92,"contests_p":null},{"arxiv_id":"0705.2020","title":"Expanding F-Theory","url":"/paper/0705.2020","section":"Sen's Limit","sentence":"Since our construction allows an arbitrary number of defects and locally the space is the same as in [ref] , it is natural to interpret our solutions as an orientifold of string theory with five or more O7-planes.","intent_p":0.81,"contests_p":null},{"arxiv_id":"2102.02443","title":"Testing our understanding of SCFTs: a catalogue of rank-2 $\\mathcal{N}$=2 theories in four dimensions","url":"/paper/2102.02443","section":"$$ and $$ theories","sentence":"This set of theories has been introduced recently by generalizing the $=3$ $S$-fold set up [ref] to the $=2$ case [ref] as well as generalizing the “classic” F-theory $=2$ theories [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"0803.3828","title":"On The Warped Heterotic Axion","url":"/paper/0803.3828","section":"Related AdS-type backgrounds","sentence":"This corresponds to taking $sinψ→cosψ$ in [ref]: [equation] This geometry also has singularities at $γ=0$, $γ=π/2$ and $ψ=0$, and following the same procedure as before we can have a smooth non-Kähler geometry with torsion and non-trivial vector bundles.[Note however that there is an apparent obstruction to pulling the constant coupling backgrounds of [ref] to the heterotic side using our sigma-model identifications.]","intent_p":0.86,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":11,"sentences":12,"quotes":[{"arxiv_id":"2303.16939","title":"A Tale of N Cones","url":"/paper/2303.16939","section":"New Higgs Phases from Old Brane Systems","sentence":"The relevant brane web, after resolving an O7$^-$ plane [ref] and suitable Hanany-Witten transitions, is: [equation] We can use the rules developed in [ref] to read off the magnetic quivers from maximal subdivisions of the web.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1612.06874","title":"$E_6$ Yukawa couplings in F-theory as D-brane instanton effects","url":"/paper/1612.06874","section":"The weak coupling limit","sentence":"We will start by reviewing the techniques in [ref] , which provide an efficient way of taking a weak coupling limit in F-theory such that one can more easily recognize the IIB brane system encoded by an elliptic fibration, elaborating on Sen's original proposal [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"0906.0003","title":"New F-theory lifts II: Permutation orientifolds and enhanced singularities","url":"/paper/0906.0003","section":"Summary of general procedure","sentence":"In this context, by “quasi-smooth”, I will mean a CY fourfold at a generic locus of its complex structure moduli space.] F-theory CY fourfold, given a generic IIB setup with D7-branes and O7/O3-planes without (intended) enhanced gauge groups, by running Sen's weak coupling limit procedure [ref] backwards.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1107.5337","title":"G-flux in F-theory and algebraic cycles","url":"/paper/1107.5337","section":"The type IIB picture","sentence":"The weak coupling region of the CY fourfold moduli space is reached in the following way: One scales the sections $a_i$ as (see [ref] ) [equation] where $ϵ$ is a complex constant that drives the weak coupling limit.","intent_p":0.86,"contests_p":null},{"arxiv_id":"2212.11217","title":"4d N=1 dualities from 5d dualities","url":"/paper/2212.11217","section":"5d triality","sentence":"Then in order to read the gauge theory we have to resolve the $O7^-$ plane by 7-branes [ref] .","intent_p":0.85,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1008.5240","title":"F-theoretic vs microscopic description of a conformal N=2 SYM theory","url":"/paper/1008.5240","section":"Summary and conclusions","sentence":"The effective coupling on the D3 coincides with the exact axio-dilaton field, and indeed we find that it agrees with the F-theoretic prediction put forward long ago by Sen [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"1709.02388","title":"Non-Abelian Supertubes","url":"/paper/1709.02388","section":"Closed timelike curves","sentence":"This is exactly parallel to the familiar story in the context of F-theory [ref] .","intent_p":0.84,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":95,"sentences":102,"quotes":[{"arxiv_id":"2305.09240","title":"Eight-dimensional non-geometric heterotic strings and enhanced gauge groups","url":"/paper/2305.09240","section":"Introduction","sentence":"The main subjects of this study are non-geometric heterotic strings [ref] and the structure of heterotic/F-theory duality [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"2201.04634","title":"D(-1)-Instanton Superpotential In String Theory","url":"/paper/2201.04634","section":"F-theory Compactification","sentence":"In particular, provided that F-theory compactification on $Y_4$ admits the Sen-limit [ref] , one can compute non-perturbative $g_s$ corrections to weakly coupled type IIB string compactifications via F-theory.[For a comprehensive review, see [ref] .]","intent_p":0.82,"contests_p":null},{"arxiv_id":"1105.1869","title":"Holographic non-perturbative corrections to gauge couplings","url":"/paper/1105.1869","section":"Introduction","sentence":"This task was tackled long ago by Sen [ref] who noticed that the naïve axio-dilaton profile produced by the D7 branes and the orientifold, has logarithmic singularities at the sources' locations.","intent_p":0.83,"contests_p":null},{"arxiv_id":"2306.11631","title":"Seiberg-Witten curves with O7$^\\pm$-planes","url":"/paper/2306.11631","section":"Introduction","sentence":"Study of the Seiberg-Witten curves for theories based on 5-brane webs with an O7-plane is, however, limited to the cases where an O7$^-$-plane is resolved into a pair of two 7-branes [ref] , leading to the curves for dual SU-gauge theories [ref] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1008.5240","title":"F-theoretic vs microscopic description of a conformal N=2 SYM theory","url":"/paper/1008.5240","section":"Introduction and motivations","sentence":"Sen in [ref] , and is given by the compactification of F-theory on the orbifold limit of an elliptically fibered K3 surface, for which the complex structure modulus $τ$ of the fiber is constant.","intent_p":0.8,"contests_p":null}]}],"unlabelled_sentences":248},"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/9605150"}}