Witten index and wall crossing

被引：117
作者：
Hori, Kentaro [1 ]
Kim, Heeyeon [2 ]
Yi, Piljin [3 ]
机构：
[1] Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
[2] Seoul Natl Univ, Dept Phys & Astron, Seoul 151147, South Korea
[3] Korea Inst Adv Study, Sch Phys, Seoul 130722, South Korea
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 01期
关键词：
Supersymmetric gauge theory; Field Theories in Lower Dimensions; D-branes; ATIYAH-SINGER INDEX; BOUND-STATES; SUPERSYMMETRY; COHOMOLOGY; SYMMETRY; SPECTRUM; STRINGS;
D O I：
10.1007/JHEP01(2015)124
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We compute the Witten index of one-dimensional gauged linear sigma models with at least N = 2 supersymmetry. In the phase where the gauge group is broken to a finite group, the index is expressed as a certain residue integral. It is subject to a change as the Fayet-Iliopoulos parameter is varied through the phase boundaries. The wall crossing formula is expressed as an integral at infinity of the Coulomb branch. The result is applied to many examples, including quiver quantum mechanics that is relevant for BPS states in d = 4 N = 2 theories.
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页数：107
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