BPS states and algebras from quivers

Abstract

We discuss several aspects of D-brane moduli spaces and BPS spectra near orbifold points. We give a procedure to determine the decay products on a line of marginal stability, and we define the algebra of BPS states in terms of quivers. These issues are illustrated in detail in the case of type IIA theory on C^2/Z_N. We also show that many of these results can be extended to arbitrary points in the compactification moduli space using Pi-stability.

45 pages, 3 figures, harvmac. Uses diagrams.tex package by Paul Taylor. References added

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• D-Branes And Mirror Symmetry
• Nonlinear Instantons from Supersymmetric p-Branes
• The spectrum of BPS branes on a noncompact Calabi-Yau
• Open string instantons and superpotentials
• Fractional Branes and Boundary States in Orbifold Theories
• D-branes on Stringy Calabi-Yau Manifolds
• L^2 cohomology of hyperkähler quotients
• Marginal Stability and the Metamorphosis of BPS States
• On a Boundary CFT Description of Nonperturbative N=2 Yang-Mills Theory
• Derived categories for the working mathematician

Cited by in corpus (47)

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• On Arnold's 14 `exceptional' N=2 superconformal gauge theories
• Categorical Tinkertoys for N=2 Gauge Theories
• On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications
• The BPS Spectrum of N=2 SU(N) SYM and Parton Branes
• Line Defects, Tropicalization, and Multi-Centered Quiver Quantum Mechanics
• Boundary Fixed Points, Enhanced Gauge Symmetry and Singular Bundles on K3
• Four ways across the wall
• Vafa-Witten invariants from exceptional collections
• Exponential Networks and Representations of Quivers
• Fourier-Mukai Transform and Mirror Symmetry for D-Branes on Elliptic Calabi-Yau
• Exponential BPS graphs and D brane counting on toric Calabi-Yau threefolds: Part I
• 4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case
• Brane-Antibrane Systems on Calabi-Yau Spaces
• D-Branes on Noncompact Calabi-Yau Manifolds: K-Theory and Monodromy
• D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories
• Line defects and (framed) BPS quivers
• Half--Hypers and Quivers
• Duality Between String Junctions and D-Branes on Del Pezzo Surfaces
• Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
• Boundary Rings and N=2 Coset Models
• Long Range Forces and Supersymmetric Bound States
• A-branes, foliations and localization
• Stability of Quiver Representations and Topology Change
• BPS Algebras, Genus Zero, and the Heterotic Monster
• Quiver Gauge Theory and Conformality at the TeV Scale
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• Generalized quiver mutations and single-centered indices
• Borcherds Algebras and N=4 Topological Amplitudes
• Quiver indices and Abelianization from Jeffrey-Kirwan residues
• Counting Trees in Supersymmetric Quantum Mechanics
• Confinement and duality in supersymmetric gauge theories
• C^2/Z_n Fractional branes and Monodromy
• $Y$ systems, $Q$ systems, and 4D $\mathcal{N}=2$ supersymmetric QFT
• Asymptotics of Ground State Degeneracies in Quiver Quantum Mechanics
• Quivers, Line Defects and Framed BPS Invariants
• Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on Orbifolds
• Landau-Ginzburg Description of D-branes on ALE Spaces
• Donaldson-Thomas invariants of length 2 flops
• On N=2 Seiberg Duality for Quiver Theories
• Kac's conjecture and the algebra of BPS states
• Exact indices for D-particles, flow trees and the derived category
• Novel wall-crossing behaviour in rank one $\mathcal{N}=2^{\ast }$ gauge theory
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers