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arXiv 1609.02799hep-th
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T-膜与$α'$ -修正

T-branes and $α'$-corrections

Fernando Marchesano, Sebastian Schwieger

摘要:

我们研究了多个D 7-膜组态中的$α'$ -修正,这些D 7-膜组态的横向位置场具有非对易轮廓。我们专注于T-膜系统,在F-理论GUT模型构建中至关重要。有$α'$ -修正修改的D-项的BPS方程,已经在领先的顺序,需要一个非原始阿贝尔世界体积通量的背景。我们发现,$α'$ -校正可以i)离开这个通量背景不变,ii)修改阿贝尔非原始通量配置文件,或iii)变形为非阿贝尔配置文件。最后一种情况通常发生在原始通量(构建4d手性模型的必要成分)被添加到系统中时。我们说明这三种情况下,通过解决$α'$校正的D-项方程在明确的例子,并描述其外观在更一般的T膜背景。最后,我们讨论了我们的研究结果的F-理论大统一组织局部模型的影响。

英文摘要:

We study $α'$-corrections in multiple D7-brane configurations with non-commuting profiles for their transverse position fields. We focus on T-brane systems, crucial in F-theory GUT model building. There $α'$-corrections modify the D-term piece of the BPS equations which, already at leading order, require a non-primitive Abelian worldvolume flux background. We find that $α'$-corrections may either i) leave this flux background invariant, ii) modify the Abelian non-primitive flux profile, or iii) deform it to a non-Abelian profile. The last case typically occurs when primitive fluxes, a necessary ingredient to build 4d chiral models, are added to the system. We illustrate these three cases by solving the $α'$-corrected D-term equations in explicit examples, and describe their appearance in more general T-brane backgrounds. Finally, we discuss implications of our findings for F-theory GUT local models.

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