11-22 August 2014
Europe/Zurich timezone

Witten Index and Wall Crossing

12 Aug 2014, 10:30
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room


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Kentaro Hori (Kavli IPMU)


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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