Theory HEP Seminar

Witten index and Wall crossing

Heeyeon Kim

Perimeter Institute

I will talk about computation of the Witten index of 1d N=4 gauged linear sigma model which counts BPS states of 4d N=2 theories and wall-crossing phenomena therein. In the phase where the gauge group is broken to a finite group, the index is expressed as the JK-residue integral. Using this results, we are going to calculate index of the Kronecker quiver which shows simplest wall-crossing phenomena, and examine the Seiberg-like duality that 1d theory exhibits.