D-branes, Quivers, and ALE Instantons

Abstract

Effective field theories in type I and II superstring theories for D-branes located at points in the orbifold C^2/Z_n are supersymmetric gauge theories whose field content is conveniently summarized by a `quiver diagram,' and whose Lagrangian includes non-metric couplings to the orbifold moduli: in particular, twisted sector moduli couple as Fayet-Iliopoulos terms in the gauge theory. These theories describe D-branes on resolved ALE spaces. Their spaces of vacua are moduli spaces of smooth ALE metrics and Yang-Mills instantons, whose metrics are explicitly computable. For U(N) instantons, the construction exactly reproduces results of Kronheimer and Nakajima.

50 pages, 11 figures, harvmac/epsf

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• D-Branes and Topological Field Theories
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• Instantons on D-branes
• Four-Dimensional Avatars of Two-Dimensional RCFT
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• The ADHM-like Constructions for Instantons on CP^2 and Three Dimensional Gauge Theories
• N=2 Strings on Orbifolds
• Eulerian digraphs and toric Calabi-Yau varieties
• Toward Second-Quantization of D5-Brane
• Toroidal Orbifolds: Resolutions, Orientifolds and Applications in String Phenomenology
• BPS branes in discrete torsion orbifolds
• Implications of the weak gravity conjecture in anomalous quiver gauge theories
• Conformal Affine Toda Soliton and Moduli of IIB Superstring on $Ad{S}_5\times S^5$
• One String to Rule Them All: Neutrino Masses and Mixing Angles
• Quiver Asymptotics: $\mathcal{N}=1$ Free Chiral Ring
• The quantum $p$-spin glass model: A user manual for holographers
• Gravitational and Yang-Mills instantons in holographic RG flows
• D0-brane realizations of the resolution of a reduced singular curve
• Remarks on the Classical Size of D-Branes
• Nonperturbative Formulations of Superstring Theory
• Instanton induced Yukawa couplings from distant E3 and E(-1) instantons
• On N=2 Seiberg Duality for Quiver Theories
• New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• A plethora of K3 metrics
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Spinning the Fuzzy Sphere
• Comments on the N=1 SU(M+p)xSU(p) quiver gauge theory with flavor
• Topological defects in string theory orbifolds with target spaces $\mathbb{C}/{\mathbb{Z}}_N$ and $S^1/{\mathbb{Z}}_2$
• D-instantons and Dualities in String Theory
• From ALE-instanton Moduli to Super Yang-Mills Theories via Branes
• $SU(3{)}^p$ Quiver Theories with $\mathcal{N}=0$ for $p=8$ and $9$
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• The Topology and Geometry of Hyperkähler Quotients
• From Algebraic Geometry to Machine Learning
• Aspetti non perturbativi della Teoria delle Stringhe
• Non-perturbative Symmetries of Little Strings and Affine Quiver Algebras
• Singularities in d=4, N=1 Heterotic String Vacua
• Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String
• Holographic backgrounds from D-brane probes
• N=1 gauge superpotentials from supergravity