Branes and Supergroups
Branes and Supergroups
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DOI：
10.1007/s00220-015-2449-y
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发表时间：
2014-10
影响因子：
2.4
通讯作者：
V. Mikhaylov;E. Witten
中科院分区：
文献类型：
--
作者：
V. Mikhaylov;E. Witten
扩展之前涉及以五膜结尾的 D3 膜的工作，我们考虑了类似的两侧问题。如果五膜是 NS 类型，则这种构造与超群的三维陈-西蒙斯理论相关，而不是与单侧情况中的普通李群相关。通过S-对偶性，我们推导出超群Chern-Simons理论的对偶磁描述；在正交辛情况下，稍微不同的对偶性导致某些超群陈-西蒙斯理论之间的强弱耦合对偶性；进一步的 T-对偶性导致了超群的霍瓦诺夫同调的一个版本。这些陈述的一些情况在文献中是已知的。我们分析这些二元性如何作用于线和面操作员。
Extending previous work that involved D3-branes ending on a fivebrane with, we consider a similar two-sided problem. This construction, in case the fivebrane is of NS type, is associated to the three-dimensional Chern–Simons theory of a supergrouporrather than an ordinary Lie group as in the one-sided case. ByS-duality, we deduce a dual magnetic description of the supergroup Chern–Simons theory; a slightly different duality, in the orthosymplectic case, leads to a strong-weak coupling duality between certain supergroup Chern–Simons theories on; and a furtherT-duality leads to a version of Khovanov homology for supergroups. Some cases of these statements are known in the literature. We analyze how these dualities act on line and surface operators.