Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory

被引：294
作者：
Gaiotto, Davide [1 ]
Moore, Gregory W. [2 ,3 ]
Neitzke, Andrew [1 ]
机构：
[1] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
[2] Rutgers State Univ, NHETC, Piscataway, NJ 08855 USA
[3] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 299卷 / 01期
关键词：
HYPERKAHLER METRICS; MODULI SPACE; DUALITY; STABILITY; GEOMETRY;
D O I：
10.1007/s00220-010-1071-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：163 / 224
页数：62
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