Abstract
We classify 5d mathcal{N} = 1 gauge theories carrying a simple gauge group that can arise by mass-deforming 5d SCFTs and 6d SCFTs (compactified on a circle, possibly with a twist). For theories having a 6d UV completion, we determine the tensor branch data of the 6d SCFT and capture the twist in terms of the tensor branch data. We also determine the dualities between these 5d gauge theories, thus determining the sets of gauge theories having a common UV completion.
Highlights
The study of five and six dimensional supersymmetric gauge theories provides an interesting window to the study of the strong coupling behavior of quantum field theory
Since we already know all dualities between 5d gauge theories having a 6d UV completion, we find a sequence of geometric manipulations taking the geometry associated to gauge theory on one side of each such duality to the geometry associated to the gauge theory on the other side of the duality
We shall summarize our results for the theories, where there is evidence from geometry that they have a 5d or 6d UV completion
Summary
The study of five and six dimensional supersymmetric gauge theories provides an interesting window to the study of the strong coupling behavior of quantum field theory. If the sequence of geometric manipulations is obstructed by the blowdowns, the resulting 5d gauge theories are not dual to each other In this way, we find all the possible dualities between the 5d gauge theories having 5d SCFT UV completion that we consider here.
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