Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers

Abstract

We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise into decoupled sectors. Each decoupled sector is described by a single quiver gauge theory with only unitary gauge nodes. The orthosymplectic quivers serve as magnetic quivers for 5d $\mathcal{N}=1$ superconformal field theories which can be engineered in type IIB string theories both with and without an O5 plane. We use this point of view to postulate the dual pairs of unitary and orthosymplectic quivers by deriving them as magnetic quivers of the 5d theory. We use this correspondence to conjecture exact highest weight generating functions for the Coulomb branch Hilbert series of the orthosymplectic quivers, and provide tests of these results by directly computing the Hilbert series for the orthosymplectic quivers in a series expansion.

arXiv comment46 pages, 10 tables, many pictures, v2: references added, typos corrected, v3: Appendix E added, matches published version

References in corpus (36)

• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Counting Gauge Invariants: the Plethystic Program
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Webs of five-branes and N=2 superconformal field theories
• Superconformal Fixed Points with E_n Global Symmetry
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Mirrors of 3d Sicilian theories
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• Tinkertoys for the D_N series
• SQCD: A Geometric Apercu
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Brane webs and $O5$-planes
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Trifectas for $T_N$ in 5d
• Magnetic quivers for rank 1 theories
• Highest Weight Generating Functions for Hilbert Series
• (5d RG-flow) Trees in the Tropical Rain Forest
• Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
• Mirror symmetry by O3-planes
• Magnetic Quivers from Brane Webs with O5 Planes
• (Symplectic) Leaves and (5d Higgs) Branches in the Poly(go)nesian Tropical Rain Forest
• Brane Webs and Magnetic Quivers for SQCD
• S-fold magnetic quivers
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• Magnetic Lattices for Orthosymplectic Quivers
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Magnetic quivers for rank 2 theories
• Discrete theta angle from an O5-plane
• A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• A string theory realization of special unitary quivers in 3 dimensions
• Product SCFTs for the $E_7$ Theory

Cited by in corpus (19)

• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Folding Orthosymplectic Quivers
• Fibrations and Hasse diagrams for 6d SCFTs
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry
• Exploring the orthosymplectic zoo
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• On non-supersymmetric fixed points in five dimensions
• Orthosymplectic Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Quiver Polymerisation
• Magnetic quivers from brane webs with O7${}^{+}$-planes
• FI-flows of 3d N=4 Theories