TL;DR
This paper investigates how Seiberg duality in SU(2) gauge theories with chiral doublets leads to enhanced E7 symmetry and explores its implications for boundary conditions and related lower-dimensional theories.
Contribution
It demonstrates that two copies of a specific gauge theory can be deformed to exhibit E7 flavor symmetry and connects this to boundary conditions in higher-dimensional theories.
Findings
Two copies of the theory can be deformed to have E7 flavor symmetry.
A single copy defines an E7-invariant boundary condition for 5D hypermultiplets.
Similar structures are found in 3D gauge theories like Nf=4 SQED.
Abstract
We explore some curious implications of Seiberg duality for an SU(2) four-dimensional gauge theory with eight chiral doublets. We argue that two copies of the theory can be deformed by an exactly marginal quartic superpotential so that they acquire an enhanced E7 flavor symmetry. We argue that a single copy of the theory can be used to define an E7-invariant superconformal boundary condition for a theory of 28 five-dimensional free hypermultiplets. Finally, we derive similar statements for three-dimensional gauge theories such as an SU(2) gauge theory with six chiral doublets or Nf=4 SQED.
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