利用(0,2) GLSM研究解析化异质Z2xZ2轨形上离散挠率的命运
The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
AI总结：
本文利用(0,2) GLSM研究异质Z2xZ2轨形解析化后离散挠率的去向，构造了新的T6/Z2xZ2解析化GLSM，并揭示有挠率情形下需通过对数超场依赖FI项消除混合规范反常，表明例外环上NS5-膜产生H-通量。
摘要：
本文旨在阐明异质轨形中的离散挠率在它们被解析为光滑几何后会发生什么变化。采用具有(0,2)世界面超对称的规范线性西格玛模型（GLSM）作为它们之间的插值。针对非紧致C3/Z2xZ2和紧致T6/Z2xZ2轨形的解析化来探讨这一问题，以追踪局部和全局方面。与无挠率的非紧致轨形相关联的GLSM在很大程度上是等价的：只有当在相同的超场基中表达时，它们之间才会出现场重定义反常，在轨形极限下该反常再现了离散挠率相位。构造了此前未知的、新颖的T6/Z2xZ2解析化GLSM。与有挠率的紧致轨形相关联的GLSM遭受混合规范反常，需要通过世界面上适当的对数超场依赖FI项来消除，这标志着由支撑在例外环上的NS5-膜导致的H-通量。
英文摘要：
This paper aims to shed light on what becomes of discrete torsion within heterotic orbifolds when they are resolved to smooth geometries. Gauged Linear Sigma Models (GLSMs) possessing (0,2) worldsheet supersymmetry are employed as interpolations between them. This question is addressed for resolutions of the non-compact C3/Z2xZ2 and the compact T6/Z2xZ2 orbifolds to keep track of local and global aspects. The GLSMs associated with the non-compact orbifold with or without torsion are to a large extent equivalent: only when expressed in the same superfield basis, a field redefinition anomaly arises among them, which in the orbifold limit reproduces the discrete torsion phases. Previously unknown, novel resolution GLSMs for T6/Z2xZ2 are constructed. The GLSM associated with the torsional compact orbifold suffers from mixed gauge anomalies, which need to be cancelled by appropriate logarithmic superfield dependent FI-terms on the worldsheet, signalling H-flux due to NS5-branes supported at the exceptional cycles.
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