论文标题
从典型组的牛brane过渡
Brane Transitions from Exceptional Groups
论文作者
论文摘要
汉尼和维滕（Hanany and Witten）众所周知的结果是，当两个五烧伤彼此移动时，会产生它们之间伸展的D3烧烤。后来，相同的Brane构型在理解多个M2-branes的世界情报理论中起着至关重要的作用。最近，将多个M2-branes的分区函数转化为Quantum代数曲线的弗雷霍尔姆决定因素，其中重现了自由度的特征3/2功率定律，而决定因素则享有由杰出的Weyl组给出的大对称性。较大的特殊Weyl群重现了汉尼纳尼 - 统一的棕褐色转变，此外，还包含了前面未知的勃雷转变。为了更好地理解新的Brane过渡，我们将先前的D5量子曲线研究推广到E7情况，这需要精细的脱生性处理。通过将这两种情况的结果结合在一起，我们提出了Brane转换的“局部”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 a large symmetry 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 D5 quantum curve to the E7 case, which requires delicate handling of degeneracies. By combining the results of these two cases, we propose a "local" rule for the brane transitions.
