PIRSA:14110152

Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting

Sasai, Y. (2014). Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting. Perimeter Institute. https://pirsa.org/14110152

Sasai, Yuya. Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting. Perimeter Institute, Nov. 24, 2014, https://pirsa.org/14110152 

          @misc{ pirsa_PIRSA:14110152,
            doi = {10.48660/14110152},
            url = {https://pirsa.org/14110152},
            author = {Sasai, Yuya},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {nov},
            note = {PIRSA:14110152 see, \url{https://pirsa.org}}
          }

Yuya Sasai

Meiji Gakuin University

Talk number
PIRSA:14110152
Collection
Talk Type
Subject
Abstract

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. The partition functions completely agree with the mathematical formulae of the Poincare polynomials and the wall crossing for the quiver moduli spaces. We also discuss exact computation of the expectation values of supersymmetric (Q-closed) Wilson loops in the quiver theory.