表面缺陷的ADE谱网络与退耦极限
ADE Spectral Networks and Decoupling Limits of Surface Defects
摘要:
利用ADE谱网络研究了不同退耦极限下$\mathcal{S}$类正则表面缺陷的真空谱和BPS谱。在这些2d-4d系统的IR模空间的某些区域,2d和4d BPS态之间的混合被抑制,并且2d-4d BPS态的光谱变为2d $\mathcal{N}=(2,2)$理论的光谱。对于一些解耦限制,我们确定了二维理论描述的表面缺陷与非线性西格玛模型和陪集模型,以前已经研究。我们还研究了某些情况下,表面缺陷的去耦极限表现出一组真空和BPS光谱,似乎是全新的。这些光谱和他们的跨壁行为进行了详细的分析。
英文摘要:
We study vacua and BPS spectra of canonical surface defects of class $\mathcal{S}$ theories in different decoupling limits using ADE spectral networks. In some regions of the IR moduli spaces of these 2d-4d systems, the mixing between 2d and 4d BPS states is suppressed, and the spectrum of 2d-4d BPS states becomes that of a 2d $\mathcal{N}=(2,2)$ theory. For some decoupling limits, we identify the 2d theories describing the surface defects with nonlinear sigma models and coset models that have been previously studied. We also study certain cases where the decoupling limit of a surface defect exhibits a set of vacua and a BPS spectrum that appear to be entirely new. A detailed analysis of these spectra and their wall-crossing behavior is performed.
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