期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2015)124
关键词
Supersymmetric gauge theory; Field Theories in Lower Dimensions; D-branes
资金
- JSPS [21340109]
- WPI Initiative, MEXT, Japan at Kavli IPMU, the University of Tokyo
- Grants-in-Aid for Scientific Research [21340109] Funding Source: KAKEN
- National Research Foundation of Korea [PG005704] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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