B-brane transport in anomalous $(2, 2)$ models and localization
B-brane transport in anomalous $(2, 2)$ models and localization
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异常 $(2, 2)$ 模型中的 B 膜运输和本地化
DOI：
10.4310/bpam.2024.v1.n1.a6
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Mauricio Romo
中科院分区：
文献类型：
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作者：
Joel Clingempeel;B. Floch;Mauricio Romo
我们研究了二维N=(2，2)反常模型中的B膜随量子K“Ahler模空间中能量尺度和体积参数的变化而表现出的行为。我们主要研究由阿贝尔规范线性西格玛模型(GLSM)定义的(2，2)理论。在半球配分函数的指导下，我们发现B膜是如何在Higgs分支和其他分支上以任意相分裂成分量的：这将Herbst-Hori-Page的带限制规则推广到(阿贝尔)反常模型。其次，我们通过循环表面奇点的Hirzebruch-Jung分解的GLSM的中心例子，讨论了非紧致模型中的分歧。对于具有紧支撑的薄膜，我们解释了如何正则化和计算半球配分函数，并提取其希格斯分支分量，将其在零瞬子扇区与薄膜的几何中心电荷进行匹配。为此，我们给出了非紧圆环的派生范畴中物体的零瞬子几何中心电荷的定义。
We study how B-branes in two-dimensional N=(2,2) anomalous models behave as we vary the energy scale and bulk parameters in the quantum K\"ahler moduli space. We focus on (2,2) theories defined by abelian gauged linear sigma models (GLSM). Guided by the hemisphere partition function we find how B-branes split in arbitrary phases into components on the Higgs branch and other branches: this generalizes the band restriction rules of Herbst-Hori-Page to (abelian) anomalous models. Secondly, we address divergences in non-compact models, through the central example of GLSMs for Hirzebruch-Jung resolutions of cyclic surface singularities. For a brane with compact support we explain how to regularize and compute the hemisphere partition function and extract its Higgs branch component, which we match in the zero-instanton sector to the geometric central charge of the brane. To this aim, we clarify the definition of zero-instanton geometric central charge for objects in the derived category of a non-compact toric orbifold.