# SUSY 2016

3-8 July 2016
The University of Melbourne
Australia/Melbourne timezone

## Higgs and Coulomb Branch Localization in Quiver Quantum Mechanics

7 Jul 2016, 14:20
20m
Alice Hoy Room 333 ()

### Alice Hoy Room 333

Talk Formal Field and String Theory

### Speaker

Prof. Kazutoshi Ohta (Meiji Gakuin University)

### Description

We derive the localization formula for ${\cal N}=4$ supersymmetric quiver quantum mechanics in the Higgs and Coulomb branch. The partition function (index) is exactly evaluated and it is shown that the path integral is localized at fixed points, which are given by solutions to the BRST equations combined with D-term and F-term conditions. We give some examples of the quiver theory and classifications of their fixed points. We also discuss a gravitational description of the localization in the Coulomb branch.

### Primary author

Prof. Kazutoshi Ohta (Meiji Gakuin University)

### Co-author

Dr Yuya Sasai (Meiji Gakuin University)