arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1302.2164hep-th
收藏

超对称Chern-Simons物质理论中的威尔逊圈与对偶性

Wilson loops in supersymmetric Chern-Simons-matter theories and duality

Anton Kapustin, Brian Willett

摘要:

本文研究了具有N=2超对称性和Chern-Simons项的三维规范理论中BPS威尔逊圈的代数。我们认为,新的关系出现在量子水平上,在许多情况下,这使得代数有限维。利用我们的结果提出了类Seiberg对偶下的威尔逊圈映射,并验证了所提出的映射与圆威尔逊圈期望值的精确结果一致.在某些情况下,我们还将威尔逊圈的代数与某些拟投射簇的等变量子K-环联系起来。这推广了Verlinde代数和Grassmannian的量子上同调之间的联系。

英文摘要:

We study the algebra of BPS Wilson loops in 3d gauge theories with N=2 supersymmetry and Chern-Simons terms. We argue that new relations appear on the quantum level, and that in many cases this makes the algebra finite-dimensional. We use our results to propose the mapping of Wilson loops under Seiberg-like dualities and verify that the proposed map agrees with the exact results for expectation values of circular Wilson loops. In some cases we also relate the algebra of Wilson loops to the equivariant quantum K-ring of certain quasi projective varieties. This generalizes the connection between the Verlinde algebra and the quantum cohomology of the Grassmannian found by Witten.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑