On Three Dimensional Quiver Gauge Theories and Integrability

Understand

In this work we compare different descriptions of the space of vacua of certain three dimensional N=4 superconformal field theories, compactified on a circle and mass-deformed to N=2 in a canonical way.

• The original N=4 theories are known to admit two distinct mirror descriptions as linear quiver gauge theories, and many more descriptions which involve the compactification on a segment of four-dimensional N=4 super Yang-Mills theory.
• Each description gives a distinct presentation of the moduli space of vacua.
• Our main result is to establish the precise dictionary between these presentations.