Branes, Superpotentials and Superconformal Fixed Points

TL;DR

This paper explores brane configurations to identify new superconformal fixed points and supersymmetric gauge theories across three to five dimensions, revealing hidden parameters and novel dualities.

Contribution

It constructs new five-dimensional superconformal theories and links them to three-dimensional fixed points using brane setups, uncovering previously unknown structures.

Findings

Identification of brane setups for 3D and 4D supersymmetric QCD with superpotentials

Construction of new 5D superconformal field theories using branes

Discovery of dualities involving electric and magnetic Coulomb branches

Abstract

We analyze various brane configurations corresponding to field theories in three, four and five dimensions. We find brane configurations which correspond to three dimensional N=2 and four dimensional N=1 supersymmetric QCD theories with quartic superpotentials, in which what appear to be ``hidden parameters'' play an important role. We discuss the construction of five dimensional N=1 supersymmetric gauge theories and superconformal fixed points using branes, which leads to new five dimensional N=1 superconformal field theories. The same five dimensional theories are also used, in a surprising way, to describe new superconformal fixed points of three dimensional N=2 supersymmetric theories, which have both ``electric'' and ``magnetic'' Coulomb branches.