论文标题

使用(0,2)glsms在解决杂质Z2XZ2 Orbifolds上离散扭转的命运

The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs

论文作者

Faraggi, A. E., Nibbelink, S. Groot, Hurtado-Heredia, M.

论文摘要

本文的目的是阐明当解决几何形状平滑时,杂孔内离散扭转的变化。具有(0,2)世界表超对称的(0,2)的线性sigma模型(GLSM)用作它们之间的插值。对于非紧密的C3/Z2XZ2和紧凑型T6/Z2XZ2 Orbifolds的分辨率解决了这个问题,以跟踪本地和全局方面。与非紧凑型Orbifold相关的GLSM在很大程度上是等效的:只有在相同的超场基础上表达时,它们之间会出现场重新定义异常,在Orbifold限制中,该阶段在Orbifold极限中重现了离散的扭转阶段。以前未知的T6/Z2XZ2的新型分辨率GLSM已构建。与扭转紧凑的Orbifold相关的GLSM遭受混合量规异常,需要通过在世界表格上的适当对数超级依赖的Fi-TERM来取消,这是由于ns5-branes引起的H-Flux信号。

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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