6d SCFTs, 5d Dualities and Tao Web Diagrams

Abstract

We propose 5d descriptions of 6d $\mathcal{N}=(1,0)$ superconformal field theories arising from Type IIA brane configurations with an $O{8}^{-}$-plane. We T-dualize the brane diagram along a compactification circle and obtain a 5-brane web diagram with two $O{7}^{-}$-planes. The gauge theory description of the resulting 5d theory for a given 6d superconformal field theory is not unique, and we argue that the non-uniqueness leads to various dual 5d gauge theories. There are three sources which lead to the 5d dualities. One type comes from either resolving both or one of the two $O{7}^{-}$-planes. The two situations give us two different ways to read off a 5d gauge theory from essentially the same web diagram. The second type originates from different distributions of D5 or D7-branes, shifting the gauge group ranks of the 5d quiver theory. The last one comes from the 90 or 45 degree rotations of the 5-brane web diagram, which is a part of the $SL(2,\mathbb{Z})$ duality of Type IIB string theory, leading to completely different group structure. These lead to a very rich class of dualities between 5d gauge theories whose UV completion is the same 6d superconformal field theory. We also explore Higgsing of the 6d theories and their 5d counterparts. Decoupling the same flavors from the dual 5d theories gives rise to another dual 5d theories whose UV completion is the same 5d superconformal field theory. Finally we propose the 6d description of 5d theories which is obtained by a generalization of 5d $T_N$ theories with additional flavors, which turns out not to be in the class of Type IIA brane construction generically.

59 pages; v2: published version

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Cited by in corpus (49)

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• Lecture Notes on Generalized Symmetries and Applications
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• Twisted Circle Compactifications of 6d SCFTs
• D-type Conformal Matter and SU/USp Quivers
• (5d RG-flow) Trees in the Tropical Rain Forest
• Discrete Gauging in Six Dimensions
• Classification of 5d N=1 gauge theories
• Magnetic Quivers from Brane Webs with O5 Planes
• Revisiting the classifications of 6d SCFTs and LSTs
• S-fold magnetic quivers
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Towards Classification of 5d SCFTs: Single Gauge Node
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Magnetic Lattices for Orthosymplectic Quivers
• Bootstrapping BPS spectra of 5d/6d field theories
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Dualities of 5d gauge theories from S-duality
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• Topological vertex formalism with O5-plane
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Minimal $(D,D)$ conformal matter and generalizations of the van Diejen model
• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Elliptic Blowup Equations for 6d SCFTs. IV: Matters
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Higgsing and Twisting of 6d $D_N$ gauge theories
• Exploring the orthosymplectic zoo
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Surface defects on E-string from 5-brane webs
• Fibre-base duality of 5d KK theories
• 5d SCFTs from Decoupling and Gluing
• S-foldings of 5d SCFTs
• Refined topological vertex for a 5D $Sp(N)$ gauge theory with antisymmetric matter
• 5D N=1 super QFT: symplectic quivers
• $C_2$ generalization of the van Diejen model from the minimal $(D_5,D_5)$ conformal matter
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• M-strings in thermodynamic limit: Seiberg-Witten geometry
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• Aspects of 4d supersymmetric dynamics and geometry