Exponential networks and representations of quivers
Exponential networks and representations of quivers
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DOI：
10.1007/jhep08(2017)063
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发表时间：
2016-11
影响因子：
5.4
通讯作者：
Richard Eager;S. Selmani;J. Walcher
中科院分区：
文献类型：
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作者：
Richard Eager;S. Selmani;J. Walcher
研究了具有八个超荷的超对称理论中BPS态在适当谱曲线上的测地线网络的几何描述。我们将Gaiotto-Moore-Neitzke的几个结构从规范理论提升和推广到局部Calabi-Yau三重及其相关模型。该微分在覆盖曲线上是多值的，并且具有一种新类型的对数奇异性，以便分别解释D0膜和非紧D4膜。我们描述了BPS轨迹相对于曲线的特定框架的三向连接的局部规则。我们再现了局域几何的BPS颤动，并用几个新的例子说明了有限质量束缚态的穿越。我们描述了通过这种“指数网络”来理解框架BPS态光谱的第一步。
We study the geometric description of BPS states in supersymmetric theories with eight supercharges in terms of geodesic networks on suitable spectral curves. We lift and extend several constructions of Gaiotto-Moore-Neitzke from gauge theory to local Calabi-Yau threefolds and related models. The differential is multi-valued on the covering curve and features a new type of logarithmic singularity in order to account for D0-branes and non-compact D4-branes, respectively. We describe local rules for the three-way junctions of BPS trajectories relative to a particular framing of the curve. We reproduce BPS quivers of local geometries and illustrate the wall-crossing of finite-mass bound states in several new examples. We describe first steps toward understanding the spectrum of framed BPS states in terms of such “exponential networks”.