Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting

Understand

We exactly evaluate the partition function (index) of N=4 supersymmetric quiver quantum mechanics in the Higgs phase by using the localization techniques.

• We show that the path integral is localized at the fixed points, which are obtained by solving the BRST equations, and D-term and F-term conditions.
• We turn on background gauge fields of R-symmetries for the chiral multiplets corresponding to the arrows between quiver nodes, but the partition function does not depend on these R-charges.
• We give explicit examples of the quiver theory including a non-coprime dimension vector.