{"arxiv_id":"hep-th/9411099","incoming":{"papers":5,"sentences":7,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2202.13205","title":"Refined Topological Amplitudes from the $\\Omega$-Background in String Theory","url":"/paper/2202.13205","section":"$𝒩=2$ Heterotic String on the $Ω$-Background","sentence":"Following [ref] , we describe the latter as a Melvin background [ref] , whereby the Euclidean space-time, with complex coordinates $(z^1, z^2)$, is fibered over the $T^2$ via the introduction of the non-trivial monodromy [equation] where $i=1,2$, $x$ is the complex coordinate on the $T^2$ and $m̃_1 , m̃_2 ∈ℤ$ identify a generic one-cycle $m̃_1 + U m̃_2$ in $T^2$.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2202.13205","title":"Refined Topological Amplitudes from the $\\Omega$-Background in String Theory","url":"/paper/2202.13205","section":"The Refined Topological Amplitudes","sentence":"The prototype of a Melvin space [ref] deforming a single plane is characterised by the metric [equation] where $ρ$ and the angle $ϕ∈[0,2π)$ are the polar coordinates on $ℝ^2$, $y$ parametrises the unit circle $S^1$, and the ellipses stand for additional spectator coordinates.","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":5},"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/9411099"}}