A proposal for (0,2) mirrors of toric varieties

A proposal for (0,2) mirrors of toric varieties
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关于 (0,2) 复曲面类型镜子的提案

DOI:
10.1007/jhep11(2017)112
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发表时间:
2017
影响因子:
5.4
通讯作者:
E. Sharpe
E. Sharpe
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
W. Gu;E. Sharpe

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本文提出了具有特殊切束变形的一般Fano环变的(0,2)镜像,对应于环变的子集。我们的反射镜是(B/2-twisted) (0,2) Landau-Ginzburg模型,与(2,2)轨迹上的Hori-Vafa反射镜相匹配。我们将我们的预测与Chen等人获得的(0,2)镜像进行比较,发现它们是匹配的。我们还简要地概述了关于范诺环型超曲面的类似结果的猜想。我们的方法利用了超对称定位的结果,这使我们能够偶然地进一步了解基于glsm的(2,2)镜像结构。例如,我们明确验证了原始a -扭曲GLSM的闭弦相关函数与镜像b -扭曲Landau-Ginzburg模型及其(0,2)变形的闭弦相关函数匹配。
A bstractIn this paper we propose (0,2) mirrors for general Fano toric varieties with special tangent bundle deformations, corresponding to subsets of toric deformations. Our mirrors are of the form of (B/2-twisted) (0,2) Landau-Ginzburg models, matching Hori-Vafa mirrors on the (2,2) locus. We compare our predictions to (0,2) mirrors obtained by Chen et al. for certain examples of toric varieties, and find that they match. We also briefly outline conjectures for analogous results for hypersurfaces in Fano toric varieties. Our methods utilize results from supersymmetric localization, which allows us to incidentally gain occasional further insights into GLSM-based (2,2) mirror constructions. For example, we explicitly verify that closed string correlation functions of the original A-twisted GLSM match those of the mirror B-twisted Landau-Ginzburg model, as well as (0,2) deformations thereof.
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发表时间: 2017-12
影响因子: 5.4
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