arXiv 1110.21752011-10hep-th

关于作为M5-branes的Kaluza-Klein模的瞬子

On instantons as Kaluza-Klein modes of M5-branes

Hee-Cheol Kim, Seok Kim, Eunkyung Koh, Kimyeong Lee, Sungjay Lee

备注：: 54 pages, 2 figures. v2: references added, figure improved, added comments on self-dual string anomaly, added new materials on the symmetric phase index, other minor corrections
发表信息：: JHEP12 (2011) 031
DOI：: 10.1007/JHEP12(2011)031

摘要：

5d最大超对称Yang-Mills理论中的瞬子和W玻色子分别是由6d（2，0）理论的圆紧化产生的Kaluza-Klein模和缠绕自对偶弦。本文研究了一种计数库仑相和对称相带电荷的BPS瞬子的指数。我们首先证明了对于任意的瞬子数，（非对易）U（1）瞬子都存在唯一的阈值束缚态，并证明了库仑相的带电瞬子正确地给出了SU（2）自对偶弦的简并性.通过研究库仑相的SU（N）自对偶弦，我们在世界面上发现了新的动量携带度。这些度的总数等于SU（N）（2，0）理论的反常系数。最后，我们表明，我们的指数可以用来研究这个理论的对称相位，并提供了一个解释的超共形指数的西格玛模型的瞬子模空间。

英文摘要：

Instantons and W-bosons in 5d maximally supersymmetric Yang-Mills theory arise from a circle compactification of the 6d (2,0) theory as Kaluza-Klein modes and winding self-dual strings, respectively. We study an index which counts BPS instantons with electric charges in Coulomb and symmetric phases. We first prove the existence of unique threshold bound state of (noncommutative) U(1) instantons for any instanton number, and also show that charged instantons in the Coulomb phase correctly give the degeneracy of SU(2) self-dual strings. By studying SU(N) self-dual strings in the Coulomb phase, we find novel momentum-carrying degrees on the worldsheet. The total number of these degrees equals the anomaly coefficient of SU(N) (2,0) theory. We finally show that our index can be used to study the symmetric phase of this theory, and provide an interpretation as the superconformal index of the sigma model on instanton moduli space.

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