The Hasse Diagram of the Moduli Space of Instantons

Abstract

Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives -- using the partial Higgs mechanism, using brane systems and using quiver subtraction -- having to refine previously developed techniques. In particular we introduce the new concept of decorated quiver, which allows to deal with a large class of unitary quivers, including those with adjoint matter.

References in corpus (23)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Small Instantons in String Theory
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Superconformal Fixed Points with E_n Global Symmetry
• F-Theory at Constant Coupling
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• On Three Dimensional Quiver Gauge Theories and Integrability
• Three Dimensional Gauge Theories and Monopoles
• Coulomb Branch and The Moduli Space of Instantons
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• Quiver Subtractions
• M-Theory Origin of Mirror Symmetry in Three Dimensional Gauge Theories
• Branes and the Kraft-Procesi Transition
• Branes and the Kraft-Procesi transition: classical case
• S-fold magnetic quivers
• Discrete Gauging in Coulomb branches of Three Dimensional $\mathcal{N}=4$ Supersymmetric Gauge Theories
• Slodowy Slices and Universal Poisson Deformations
• Quiver origami: discrete gauging and folding
• Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities

Cited by in corpus (10)

• Fibrations and Hasse diagrams for 6d SCFTs
• Magnetic quivers and negatively charged branes
• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• Orthosymplectic Quotient Quiver Subtraction
• More on Affine Dynkin Quiver Yangians
• Actions on the quiver -- Discrete quotients on the Coulomb branch
• Atomic Higgsings of 6D SCFTs
• Complex Symplectic Contractions and 3d Mirrors
• Quiver Polymerisation