Witten index and wall crossing

A bstract 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...

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Published inThe journal of high energy physics Vol. 2015; no. 1; p. 1
Main Authors Hori, Kentaro, Kim, Heeyeon, Yi, Piljin
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2015
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Field Theories in Lower Dimensions
D-branes
Supersymmetric gauge theory
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Summary:A bstract 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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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2015)124