The Instanton Hunter's Guide to Supersymmetric SU(N) Gauge Theories

Abstract

We present a compendium of results for ADHM multi-instantons in SU(N) SUSY gauge theories, followed by applications to N=2 supersymmetric models. Extending recent SU(2) work, and treating the N=1 and N=2 cases in parallel, we construct: (i) the ADHM supermultiplet, (ii) the multi-instanton action, and (iii) the collective coordinate integration measure. Specializing to N=2, we then give a closed formula for F_k, the k-instanton contribution to the prepotential, as a finite-dimensional collective coordinate integral. This amounts to a weak-coupling solution, in quadratures, of the low-energy dynamics of N=2 SQCD, without appeal to duality. As an application, we calculate F_1 for all SU(N) and any number of flavors N_F; for N_F<2N-2 and N_F=2N-1 we confirm previous instanton calculations and agree with the proposed hyper-elliptic curve solutions. For N_F=2N-2 and N_F=2N with N>3 we obtain new results, which in the latter case we do not understand how to reconcile with the curves.

46 pages, uses harvmac. One citation modified

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Cited by in corpus (38)

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• Dyonic Instantons in Five Dimensional Gauge Theories
• Non-perturbative SQCD Superpotentials from String Instantons
• Magnetic Mixing -- Electric Minicharges from Magnetic Monopoles
• Yang-Mills Instantons in the Large-N Limit and the AdS/CFT Correspondence
• Lectures on instantons
• Yang-Mills- and D-instantons
• Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate
• Notes on Noncommutative Instantons
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• Exact Results in 5D from Instantons and Deconstruction
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Kinky D-Strings
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• Open Dielectric Branes
• Comments on Noncommutative ADHM Construction
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• Elliptic models and M-theory
• ADHM and D-instantons in orbifold AdS/CFT duality
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• Summing the Instanton Series in N=2 Superconformal Large-N QCD
• The Shape of Instantons : Cross-Section of Supertubes and Dyonic Instantons
• Microscopic quantum superpotential in N=1 gauge theories
• Symmetric Orbifold Theories from Little String Residues
• Glueball operators and the microscopic approach to N=1 gauge theories
• Higgs Structures of Dyonic Instantons
• On A Superfield Extension of The ADHM Construction and N=1 Super Instantons
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• The U(N) ADHM Two-Instanton
• Parity Conservation in Supersymmetric Vector-Like Theories
• One-loop and D-instanton corrections to the effective action of open string models
• The variant of ADHMN construction associated with q-analysis
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories
• One-instanton test of the exact prepotential for N=2 SQCD coupled to a symmetric tensor hypermultiplet
• Conformal Symmetry on the Instanton Moduli Space
• Holographic backgrounds from D-brane probes
• Missing Yang-Mills instantons on ALE spaces