PIRSA:15040133 Conference Quantum Fields and Strings

DOI10.48660/15040133

Conference/School: (Mock) Modularity, Moonshine and String Theory

Kim, H. (2015). Quiver Quantum Mechanics and Wall-Crossing . Perimeter Institute. https://pirsa.org/15040133

Kim, Heeyeon. Quiver Quantum Mechanics and Wall-Crossing . Perimeter Institute, Apr. 16, 2015, https://pirsa.org/15040133 

@misc{ pirsa_PIRSA:15040133,
  doi = {10.48660/15040133},
  url = {https://pirsa.org/15040133},
  author = {Kim, Heeyeon},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Quiver Quantum Mechanics and Wall-Crossing },
  publisher = {Perimeter Institute},
  year = {2015},
  month = {apr},
  note = {PIRSA:15040133 see, \url{https://pirsa.org}}
}

Abstract

I will talk about computation of the Witten index of 1d N=4 gauged linear sigma model which describes wall-crossing of BPS states in 4d N=2 theories. In the phase where the gauge group is broken to a finite group, the index is expressed as the JK-residue integral. Using this result, I am going to examine large-rank behaviour of the Kronecker quivers which describes the most simplest wall-crossing phenomena. I will also talk about how the refined Witten indices of quivers are preserved under the mutation process.

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