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Summing the instanton series in Script N = 2 superconformal large-N QCD

Valentin V. Khoze, Michael P. Mattis, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "10", Issue: 10, Pages: 019 - 019

Swansea University Author: Timothy Hollowood Orcid Logo

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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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa28560
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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
College: Faculty of Science and Engineering
Issue: 10
Start Page: 019
End Page: 019