Classification of 5d \(\mathcal{N} = 1\) gauge theories. (English) Zbl 1457.81117
Summary: 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.
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T33 | Dimensional compactification in quantum field theory |
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