阿贝尔广义线性空间模型中的非双有理扭导等价
Non-birational twisted derived equivalences in abelian GLSMs
摘要：
本文讨论了阿贝尔规范线性西格玛模型在非双有理空间之间实现扭曲导出等价的一些例子，并以新的方式实现几何。具有非双有理Kahler相位的规范线性西格玛模型的示例是相对较新的现象。我们的大多数例子涉及规范的线性西格玛模型的完全相交的二次超曲面，虽然我们也讨论了一些更一般的情况下，他们的解释。我们还提出了一个更一般的理解Kahler阶段之间的关系规范的线性西格玛模型，即它们是相关的（并实现）库兹涅佐夫的同调投影对偶。“一路上，我们将看到”非对易空间“（在孔采维奇的意义上）是如何在规范线性西格玛模型中物理实现的，提供了新型共形场论的例子。在整个过程中，堆栈的物理实现在解释GLSMs中出现的物理结构中起着关键作用，我们发现堆栈在GLSMs中比以前实现的更常见。
英文摘要：
In this paper we discuss some examples of abelian gauged linear sigma models realizing twisted derived equivalences between non-birational spaces, and realizing geometries in novel fashions. Examples of gauged linear sigma models with non-birational Kahler phases are a relatively new phenomenon. Most of our examples involve gauged linear sigma models for complete intersections of quadric hypersurfaces, though we also discuss some more general cases and their interpretation. We also propose a more general understanding of the relationship between Kahler phases of gauged linear sigma models, namely that they are related by (and realize) Kuznetsov's `homological projective duality.' Along the way, we shall see how `noncommutative spaces' (in Kontsevich's sense) are realized physically in gauged linear sigma models, providing examples of new types of conformal field theories. Throughout, the physical realization of stacks plays a key role in interpreting physical structures appearing in GLSMs, and we find that stacks are implicitly much more common in GLSMs than previously realized.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
