带GLSM描述的Calabi-Yau三倍的Torelli问题

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2017-11-28 DOI:10.4310/cntp.2019.v13.n4.a2
Michał Kapustka, M. Rampazzo
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引用次数: 21

摘要

我们构造了一个具有两个非二元K\“alher相的规范线性西格玛模型,我们证明了这两个相是导出等价的$\mathbb{L}$等价、变形等价和Hodge等价。这为二元Torelli问题提供了一个新的反例,该问题允许简单的GLSM解释。
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Torelli problem for Calabi–Yau threefolds with GLSM description
We construct a gauged linear sigma model with two non-birational K\"alher phases which we prove to be derived equivalent, $\mathbb{L}$-equivalent, deformation equivalent and Hodge equivalent. This provides a new counterexample to the birational Torelli problem which admits a simple GLSM interpretation.
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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