Magnetic quivers and negatively charged branes

Abstract

The Higgs branches of the world-volume theories for multiple M5 branes on an $A_k$ or $D_k$-type ALE space are known to host a variety of fascinating properties, such as the small $E_8$ instanton transition or the discrete gauging phenomena. This setup can be further enriched by the inclusion of boundary conditions, which take the form of $SU(k)$ or $SO(2k)$ partitions, respectively. Unlike the $A$-type case, $D$-type boundary conditions are eventually accompanied by negative brane numbers in the Type IIA brane realisation. While this may seem discouraging at first, we demonstrate that these setups are well-suited to analyse the Higgs branches via magnetic quivers. Along the way, we encounter multiple models with previously neglected Higgs branches that exhibit exciting physics and novel geometric realisations. Nilpotent orbits, Slodowy slices, and symmetric products.

arXiv commentv2: 43 pages + appendices; minor typos corrected, added clarifications; matches JHEP version

References in corpus (45)

• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• 6d Conformal Matter
• Branes and Six Dimensional Supersymmetric Theories
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Mirrors of 3d Sicilian theories
• T-Branes and Monodromy
• Holography for (1,0) theories in six dimensions
• The Hilbert Series of the One Instanton Moduli Space
• On Orientifolds, Discrete Torsion, Branes and M Theory
• An Orientifold of Type-IIB Theory on $K3$
• Orientifolds, Branes, and Duality of 4D Gauge Theories
• Branes and Six Dimensional Fixed Points
• Issues on Orientifolds: On the brane construction of gauge theories with SO(2n) global symmetry
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• T-Branes and Geometry
• 6d holographic anomaly match as a continuum limit
• Quiver Subtractions
• T^σ_ρ(G) Theories and Their Hilbert Series
• 6D RG Flows and Nilpotent Hierarchies
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Discrete Gauging in Six Dimensions
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
• Mirror symmetry by O3-planes
• Tri-vertices and SU(2)'s
• Chiral Symmetry from Type IIA Branes
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• Branes and the Kraft-Procesi transition: classical case
• AdS${}_7$/CFT${}_6$ with orientifolds
• T-branes, Anomalies and Moduli Spaces in 6D SCFTs
• Small instanton transitions for M5 fractions
• Rank-3 antisymmetric matter on 5-brane webs
• Magnetic Lattices for Orthosymplectic Quivers
• T-Branes, String Junctions, and 6D SCFTs
• Quiver Theories and Formulae for Nilpotent Orbits of Exceptional Algebras
• Notes on Supersymmetric Gauge Theories in Five and Six Dimensions
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Discrete Gauging in Coulomb branches of Three Dimensional $\mathcal{N}=4$ Supersymmetric Gauge Theories
• Discrete quotients of 3-dimensional N = 4 Coulomb branches via the cycle index
• The Hasse Diagram of the Moduli Space of Instantons
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Orthosymplectic Implosions
• Exploring the orthosymplectic zoo

Cited by in corpus (10)

• Fibrations and Hasse diagrams for 6d SCFTs
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Orthosymplectic Quotient Quiver Subtraction
• Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• Quiver Polymerisation