Khovanov-Rozansky Homology and Topological Strings
Khovanov-Rozansky Homology and Topological Strings
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Khovanov-Rozansky 同调和拓扑弦
DOI：
10.1007/s11005-005-0008-8
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发表时间：
2004
影响因子：
1.2
通讯作者：
C. Vafa
中科院分区：
文献类型：
--
作者：
S. Gukov;A. Schwarz;C. Vafa
我们推测 Khovanov 和 Rozansky 最近提出的 sl(N) 结同源性与开拓扑弦捕获的 BPS 态谱之间的关系。这一猜想导致了 sl(N) 结同调群之间的新规律，并表明它们可以直接用拓扑弦理论来解释。我们在各种示例中使用这种方法来预测所有 N 值的 sl(N) 结同源组。我们验证我们的预测通过了一些重要的检查
We conjecture a relation between the sl(N) knot homology, recently introduced by Khovanov and Rozansky, and the spectrum of BPS states captured by open topological strings. This conjecture leads to new regularities among the sl(N) knot homology groups and suggests that they can be interpreted directly in topological string theory. We use this approach in various examples to predict the sl(N) knot homology groups for all values of N. We verify that our predictions pass some non-trivial checks