# Exact Results in SUSY Gauge Theories in Various Dimensions

11-22 August 2014
CERN
Europe/Zurich timezone

## The Coulomb Branch Formula for Quiver Moduli Spaces

13 Aug 2014, 10:30
1h
4/3-006 - TH Conference Room (CERN)

100
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### Speaker

Jan Manschot (U Lyon)

### Description

The semi-classical description of BPS bound states of 4d N=2 supersymmetric theories naturally gives rise to a N=4 quiver quantum mechanics (QQM). The regime where the constituents of the bound states have a finite spatial separation corresponds to the Coulomb branch of the QQM. I will explain in this talk how the bound state perspective leads to the Coulomb Branch Formula. This is an explicit formula for the computation of the BPS index of BPS bound states in terms of a set of invariants associated to 'single-centered' or 'pure Higgs' states. Suitable specialization of the Coulomb Branch Formula gives topological invariants of the quiver moduli space, which parametrizes semi-stable quiver representations

 Slides