ADE spectral networks

ADE spectral networks
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ADE 光谱网络

DOI:
10.1007/jhep08(2016)087
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发表时间:
2016
影响因子:
5.4
通讯作者:
Chan Y. Park
Chan Y. Park
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Pietro Longhi;Chan Y. Park

文献摘要

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A bstract我们介绍了一个新的视角和推广的4D N$$ \mathcal{N} $$ = 2理论的S类李代数g$$ \mathfrak{g} $$ = An,Dn,E6,和E7的谱网络。光谱网络直接计算耦合到4d理论的表面缺陷的2d理论的BPS光谱。这些光谱的李代数解释自然出现从我们的建设,导致一个新的描述2D-4D跨壁现象。我们的构造也为研究4d理论的BPS谱提供了一个有效的框架。此外,我们认为新类型的表面缺陷与g$$ \mathfrak{g} $$的微小ccrepresentations。
A bstractWe introduce a new perspective and a generalization of spectral networks for 4d N$$ \mathcal{N} $$ = 2 theories of class S associated to Lie algebras g$$ \mathfrak{g} $$ = An, Dn, E6, and E7. Spectral networks directly compute the BPS spectra of 2d theories on surface defects coupled to the 4d theories. A Lie algebraic interpretation of these spectra emerges naturally from our construction, leading to a new description of 2d-4d wall-crossing phenomena. Our construction also provides an efficient framework for the study of BPS spectra of the 4d theories. In addition, we consider novel types of surface defects associated with minuscule ccrepresentations of g$$ \mathfrak{g} $$.