Brane brick models and 2d (0, 2) triality

Brane brick models and 2d (0, 2) triality
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DOI:
10.1007/jhep05(2016)020
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发表时间:
2016-05
影响因子:
5.4
通讯作者:
S. Franco;Sangmin Lee;Rak-Kyeong Seong
S. Franco;Sangmin Lee;Rak-Kyeong Seong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Franco;Sangmin Lee;Rak-Kyeong Seong

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在膜砖模型下,给出了2维(0,2)Gadde-Gukov-Putrov三项式的膜实现。这些是IIA型膜结构,在单一的环状Calabi-Yau 4折上具有T-双至D-1膜。Triality转化为膜砖模型的局部变换,其最简单的代表是立方体移动。我们给出了明确的例子,并构造了它们的三重网络。我们还证明了经典的膜砖模型理论的介子模空间,对应于所讨论的Calabi-Yau四重,在三重条件下是不变的。最后,我们讨论了相边界的三重性,它在连接Calabi-Yau四折叠和膜砖模型方面起着核心作用。
We provide a brane realization of 2d (0, 2) Gadde-Gukov-Putrov triality in terms of brane brick models. These are Type IIA brane configurations that are T-dual to D1-branes over singular toric Calabi-Yau 4-folds. Triality translates into a local transformation of brane brick models, whose simplest representative is a cube move. We present explicit examples and construct their triality networks. We also argue that the classical mesonic moduli space of brane brick model theories, which corresponds to the probed Calabi-Yau 4-fold, is invariant under triality. Finally, we discuss triality in terms of phase boundaries, which play a central role in connecting Calabi-Yau 4-folds to brane brick models.