{"arxiv_id":"hep-th/9309140","incoming":{"papers":316,"sentences":775,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2306.10106","title":"A heterotic Kodaira-Spencer theory at one-loop","url":"/paper/2306.10106","section":"Conclusions","sentence":"Given the link between Kodaira–Spencer and the topological B-model [ref] ,[In fact it was shown in [ref] that Kodaira–Spencer theory fails to match the B-model at one-loop.","intent_p":0.65,"contests_p":0.78}]},{"kind":"extends","label":"Builds on it","papers":6,"sentences":6,"quotes":[{"arxiv_id":"1412.3454","title":"Algebraic structure of $tt^*$ equations for Calabi-Yau sigma models","url":"/paper/1412.3454","section":"Algebraic structure of $tt^*$ equations","sentence":"This approach was generalized to CY threefolds in Ref. [ref] , providing an algebraic reformulation of BCOV [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2012.00766","title":"Holomorphic Anomalies, Fourfolds and Fluxes","url":"/paper/2012.00766","section":"Overview and Summary","sentence":"This essentially boils down to the question of how to generalize the celebrated work of BCOV [ref] on threefolds to fourfolds with fluxes.","intent_p":0.85,"contests_p":null},{"arxiv_id":"2208.14233","title":"Top-down holography in an asymptotically flat spacetime","url":"/paper/2208.14233","section":"Introduction","sentence":"This example arises from a generalization of twisted holography [ref] , whereby the B-model topological string [These examples often work in the supergravity limit of the B-model, known as Kodaira-Spencer theory [ref] .] on a “backreacted”, i.e. complex structure-deformed geometry is dual to a B-brane worldvolume theory.","intent_p":0.87,"contests_p":null},{"arxiv_id":"1109.5728","title":"The Omega deformed B-model for rigid N=2 theories","url":"/paper/1109.5728","section":"The wave function transformation of Z","sentence":"The correlation functions satisfy a simple generalization of the holomorphic anomaly equations of [ref] , [equation] Note that in this sum $(m',g')$ run from $(0,0)$ to $(m,g)$ and for $g'=0$ or $g'=g$ either $n>0$ or $m>3$.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1212.4234","title":"Renormalization Method and Mirror Symmetry","url":"/paper/1212.4234","section":"BCOV theory and Givental formalism","sentence":"Our definition of BCOV action functional extends the original BCOV action in [ref] by inclu­ding the “gravitational descendants” $t$.","intent_p":0.97,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":44,"sentences":54,"quotes":[{"arxiv_id":"0908.0336","title":"Solving the Topological String on K3 Fibrations","url":"/paper/0908.0336","section":"Solving the holomorphic anomaly equations","sentence":"In this section we want to 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_̱BM_z = N/4π^2d- d/(|x|^2 + |y|^2)^2_z.","intent_p":0.81,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":21,"sentences":26,"quotes":[{"arxiv_id":"0905.1286","title":"Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles","url":"/paper/0905.1286","section":"Unoriented one-loop amplitudes as analytic torsions","sentence":"The result is (as already found in [ref] ) [equation]","intent_p":0.81,"contests_p":null},{"arxiv_id":"0807.0597","title":"Topological open strings on orbifolds","url":"/paper/0807.0597","section":"Introduction","sentence":"One advantage of the framework developed in [ref] , as compared to the holomorphic anomaly equations of [ref] , is that the amplitudes are completely fixed by the recursion.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1011.5890","title":"Geometric quantization and the metric dependence of the self-dual field theory","url":"/paper/1011.5890","section":"Introduction and 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.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":132,"sentences":173,"quotes":[{"arxiv_id":"0706.0511","title":"Comments on the Holomorphic Anomaly in Open Topological String Theory","url":"/paper/0706.0511","section":"Introduction","sentence":"Recently Walcher [ref] showed that topological string amplitudes with D-branes in compact Calabi-Yau manifolds satisfy a set of differential equations, which generalize the holomorphic anomaly equations of [ref] (henceforth referred to as BCOV).","intent_p":0.84,"contests_p":null},{"arxiv_id":"0809.1674","title":"Integrability of the holomorphic anomaly equations","url":"/paper/0809.1674","section":"Integrability of the holomorphic anomaly equation","sentence":"This section is to review the recent results of [ref] [ref] on the polynomial recursive solution of the holomorphic anomaly equation of [ref] and to set our conventions.","intent_p":0.85,"contests_p":null},{"arxiv_id":"2607.02145","title":"Supersymmetric twists in twistor space and holography","url":"/paper/2607.02145","section":"Review on chiral holography","sentence":"In [ref] the authors conjectured a duality between holomorphic Chern-Simons on supertwistor space, and the BCOV theory [ref] on the total space $X$ of a fibration $X=𝒪(-1)^⊕4→ℙ𝕋$ in the presence of a certain background field.","intent_p":0.95,"contests_p":null},{"arxiv_id":"0804.1120","title":"New Anomalies in Topological String Theory","url":"/paper/0804.1120","section":"Introduction","sentence":"The topological string holomorphic anomaly equation gives a recursion relation for the partition function $F_g$ with respect to the genus $g$ of the string worldsheet [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2106.14859","title":"Giant gravitons in twisted holography","url":"/paper/2106.14859","section":"Introduction and Conclusions","sentence":"The simplest example 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