Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory
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DOI：
10.1007/s00220-010-1071-2
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发表时间：
2010-10-01
影响因子：
2.4
通讯作者：
Neitzke, Andrew
中科院分区：
文献类型：
--
作者：
Gaiotto, Davide;Moore, Gregory W.;Neitzke, Andrew
我们给出了Seiberg-Witten理论中BPS谱的Kontsevich-Soibelman穿壁公式的物理解释。在这个过程中，我们给出了R-3x S-1上模空间的超kahler度规的BPS瞬子修正的精确描述。跨越墙的公式简化为该度量是连续的。我们的度规构造使用了二维TT*方程的四维类比。
We give a physical explanation of the Kontsevich-Soibelman wall-crossing formula for the BPS spectrum in Seiberg-Witten theories. In the process we give an exact description of the BPS instanton corrections to the hyperkahler metric of the moduli space of the theory on R-3 x S-1. The wall-crossing formula reduces to the statement that this metric is continuous. Our construction of the metric uses a four-dimensional analogue of the two-dimensional tt* equations.