In this work we study the topological rings of two dimensional (2,2) and (0,2) hybrid models. In particular, we use localization to derive a formula for the correlators in both cases, focusing on the B- and B/2-twists. Although our methods apply to a vast range of hybrid CFTs, we focus on hybrid models suitable for compactifications of the heterotic string. In this case, our formula provides unnormalized Yukawa couplings of the spacetime superpotential. We apply our techniques to hybrid phases of linear models, and we find complete agreement with known results in other phases. We also obtain a prediction for a certain class of correlators involving twisted operators in (2,2) Landau-Ginzburg orbifolds. For (0,2) theories, our argument does not rely on the existence of a (2,2) locus. Finally, we derive vanishing conditions concerning worldsheet instanton corrections in (0,2) B/2-twisted hybrid models.

中文翻译：

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$(2,2)$ 和 $(0,2)$ 混合模型的方面

在这项工作中，我们研究了二维 (2,2) 和 (0,2) 混合模型的拓扑环。特别是，我们使用本地化来推导出两种情况下的相关器公式，重点是 B 和 B/2 扭曲。尽管我们的方法适用于范围广泛的混合 CFT，但我们专注于适合杂种优势串压实的混合模型。在这种情况下，我们的公式提供了时空超势的非归一化 Yukawa 耦合。我们将我们的技术应用于线性模型的混合阶段，我们发现与其他阶段的已知结果完全一致。我们还获得了对 (2,2) Landau-Ginzburg orbifolds 中涉及扭曲算子的某一类相关器的预测。对于 (0,2) 理论，我们的论证不依赖于 (2,2) 轨迹的存在。最后，