More on Gopakumar-Vafa formula: coefficients F₀ and F₁
Dedushenko, Mykola
الأصل · EN
In Type IIA compactified on a Calabi-Yau threefold, the genus zero and one terms of the Gopakumar-Vafa (GV) formula describe F-terms that are related to genus zero and one topological amplitudes. While for higher-genus terms Fg, g≥ 2, the contribution of a light hypermultiplet can be computed via a sum over Kaluza-Klein harmonics, as has been shown in a recent paper, for g ≤ 1, the sum diverges and it is better to compute F₀ and F₁ directly in five-dimensional field theory. Such a computation is presented here.
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