Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's

Abstract

We study $5d$ gauge theories that go in the UV to $6d$ $\mathcal{N}$$=(1,0)$ SCFT. We focus on these theories that can be engineered in string theory by brane webs. Given a theory in this class, we propose a method to determine the $6d$ SCFT it goes to. We also discuss the implication of this to the compactification of the resulting $6d$ SCFT on a torus to $4d$. We test and demonstrate this method with a variety of examples.

61 pages, 51 figures; v2 typos corrected, version published in JHEP

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• Brane webs and $O5$-planes
• Trifectas for $T_N$ in 5d
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• Discrete Gauging in Six Dimensions
• (5d RG-flow) Trees in the Tropical Rain Forest
• Rank $Q$ E-string on a torus with flux
• 4d $\mathcal{N}=2$ S-folds
• Revisiting the classifications of 6d SCFTs and LSTs
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Towards Classification of 5d SCFTs: Single Gauge Node
• Rank-3 antisymmetric matter on 5-brane webs
• Dualities of 5d gauge theories from S-duality
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Compactifications of 5d SCFTs with a twist
• Curious patterns of IR symmetry enhancement
• Probing 7-branes on Orbifolds
• On the compactification of 5d theories to 4d
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• S-foldings of 5d SCFTs
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• 5d SCFTs and their non-supersymmetric cousins
• Aspects of 4d supersymmetric dynamics and geometry