Exploring the orthosymplectic zoo

Abstract

We study the Higgs branch of the SCFT limit of 5d SO(6) and SO(8) gauge theory with hypermultiplets in the spinor and vector representations. In the case of SO(6) gauge theories, we contrast the magnetic quivers obtained with those of SU(4) gauge theory with hypermultiplets in the fundamental and second rank antisymmetric representations. Since SU(4) gauge theories admit several different values of the Chern-Simons level, we make some observations about how to distinguish those theories from the brane webs of the SO(6) theories. In the case of SO(8) gauge theories, we use SO(8) triality to propose (naively) inequivalent magnetic quivers, which will turn out to have the same moduli spaces of vacua, at least locally around their most singular loci. We encounter several interesting new phenomena occurring in the magnetic quivers, such as hypermultiplets between neighbouring symplectic gauge nodes and matter in two-index representations of unitary nodes. We also give a prescription for computing the local Coulomb branch Hilbert series for quivers involving bad USp(2) gauge nodes.

arXiv comment41 pages + 1 appendix

References in corpus (78)

• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Phase Transitions In M-Theory And F-Theory
• F-theory and Orientifolds
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Branes, Superpotentials and Superconformal Fixed Points
• The D4-D8 Brane System and Five Dimensional Fixed Points
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Small Instantons, del Pezzo Surfaces and Type I' theory
• Monopole Operators and Mirror Symmetry in Three Dimensions
• Matter From Geometry
• Tinkertoys for Gaiotto Duality
• On Geometric Classification of 5d SCFTs
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• Five-branes, Seven-branes and Five-dimensional E_n field theories
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• Tinkertoys for the D_N series
• Exceptional groups from open strings
• SQCD: A Geometric Apercu
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• Open string - string junction transitions
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Coulomb Branch and The Moduli Space of Instantons
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• Discrete theta and the 5d superconformal index
• More on 5d descriptions of 6d SCFTs
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• Brane webs and $O5$-planes
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Lifting 4d dualities to 5d
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Exact results for 5d SCFTs of long quiver type
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Magnetic quivers for rank 1 theories
• Tao Probing the End of the World
• Highest Weight Generating Functions for Hilbert Series
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• (5d RG-flow) Trees in the Tropical Rain Forest
• Classification of 5d N=1 gauge theories
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• 5d/6d DE instantons from trivalent gluing of web diagrams
• Magnetic Quivers from Brane Webs with O5 Planes
• Testing $Ad{S}_6/CF{T}_5$ in Type IIB with stringy operators
• (Symplectic) Leaves and (5d Higgs) Branches in the Poly(go)nesian Tropical Rain Forest
• Counting Gauge Invariant Operators in SQCD with Classical Gauge Groups
• Redeeming Bad Theories
• Brane Webs and Magnetic Quivers for SQCD
• S-fold magnetic quivers
• 5d superconformal indices at large N and holography
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• The Infrared Physics of Bad Theories
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Equivalence of several descriptions for 6d SCFT
• Rank-3 antisymmetric matter on 5-brane webs
• Magnetic Lattices for Orthosymplectic Quivers
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Bootstrapping BPS spectra of 5d/6d field theories
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• Discrete theta angle from an O5-plane
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• The Infrared Fixed Points of 3d $\mathcal{N}=4$ $USp(2N)$ SQCD Theories
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• AdS${}_6$/CFT${}_5$ with O7-planes
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• M-theory curves from warped AdS${}_6$ in Type IIB
• Partition functions of web diagrams with an O7${}^{-}$-plane

Cited by in corpus (11)

• Fibrations and Hasse diagrams for 6d SCFTs
• Magnetic quivers and negatively charged branes
• Higgs, Coulomb, and Hall-Littlewood
• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• Orthosymplectic Quotient Quiver Subtraction
• Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Quiver Polymerisation