PIRSA:15040133

Quiver Quantum Mechanics and Wall-Crossing

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}}
          }

Heeyeon Kim Korea Advanced Institute of Science and Technology (KAIST)

DOI 10.48660/15040133
Collection
Talk Type Conference
Subject

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.