Summing the Instanton Series in N=2 Superconformal Large-N QCD

Abstract

We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned off, the k-instanton moduli space collapses to a single copy of AdS_5*S^1. The resulting k-instanton effective measure is proportional to N^{1/2} g^4 Z_k^(6), where Z_k^(6) is the partition function of N=(1,0) SYM theory in six dimensions reduced to zero dimensions. The multi-instanton can in fact be summed in closed form. As a hint of an AdS/CFT duality, with the usual relation between the gauge theory and string theory parameters, this precisely matches the normalization of the charge-k D-instanton measure in type IIB string theory compactified to six dimensions on K3 with a vanishing two-cycle.

12 pages, amslatex

References in corpus (3)

• Large N Field Theories, String Theory and Gravity
• Breakdown of Cluster Decomposition in Instanton Calculations of the Gluino Condensate
• Heterotic/type I duality, D-instantons and an N=2 AdS/CFT correspondence

Cited by in corpus (10)

• TASI Lectures on Solitons
• Multi instanton calculus on ALE spaces
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• N=2 Gauge Theories and Systems with Fractional Branes
• ADHM and D-instantons in orbifold AdS/CFT duality
• Instantons and Emergent AdS_3 x S^3 Geometry
• Instantons, finite N=2 Sp(N) theories and the AdS/CFT correspondence
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Twistor Strings with Flavour
• Do Instantons and Strings Cluster when the Number of Colors is Large?