Brane transitions from exceptional groups
Brane transitions from exceptional groups
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DOI：
10.1016/j.nuclphysb.2021.115477
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发表时间：
2020-10
影响因子：
2.8
通讯作者：
Tomohiro Furukawa;Sanefumi Moriyama;T. Nakanishi
中科院分区：
文献类型：
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作者：
Tomohiro Furukawa;Sanefumi Moriyama;T. Nakanishi
Hanany和维滕的一个著名结果是，当两个5-膜相互运动时，会产生在它们之间伸展的D3-膜。后来，同样的膜构型在理解多重M2-膜的世界体积理论中起了至关重要的作用。最近多重M2-膜的配分函数被转换为量子代数曲线的Fredholm行列式，其中特征的3/2幂律自由度被再现，并且行列式享有由例外Weyl群给出的大对称性。大例外Weyl群再现Hanany-Witten膜跃迁，此外，包含膜跃迁未知的。为了更好地理解新的膜跃迁，我们将我们以前对D5量子曲线的研究推广到E7的情况，这需要对简并进行细致的处理。通过结合这两种情况的结果，我们提出了一个“本地”的膜跃迁规则。
It is a well-known result by Hanany and Witten that, when two five-branes move across each other, D3-branes stretching between them are generated. Later the same brane configurations played a crucial role in understanding the worldvolume theory of multiple M2-branes. Recently the partition function of multiple M2-branes was transformed to the Fredholm determinant for quantum algebraic curves, where the characteristic 3/2 power law of degrees of freedom is reproduced and the determinant enjoys large symmetries given by exceptional Weyl groups. The large exceptional Weyl group reproduces the Hanany-Witten brane transitions and, besides, contains brane transitions unknown previously. Aiming at understanding the new brane transitions better, we generalize our previous study on the D 5 quantum curve to the E 7 case, which requires delicate handling of degeneracies. By combining the results of these two cases, we propose a “local” rule for the brane transitions.