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

页码：163 / 224

页数：62

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