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Multi-instantons and Maldacena's conjecture

Valentin V. Khoze, Stefan Vandoren, Nicholas Dorey, Michael P. Mattis, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 023 - 023

Swansea University Author: Timothy Hollowood Orcid Logo

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Abstract

We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 1998
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28565
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Abstract: We examine certain n-point functions G_n in {\cal N}=4 supersymmetric SU(N) gauge theory at the conformal point. In the large-N limit, we are able to sum all leading-order multi-instanton contributions exactly. We find compelling evidence for Maldacena's conjecture: (1) The large-N k-instanton collective coordinate space has the geometry of AdS_5 x S^5. (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, $G_n = \sqrt{N} g^8 k^{n-7/2} e^{-8\pi^2 k/g^2}\sum_{d|k} d^{-2} \times F_n(x_1,...,x_n)$, where F_n is identical to a convolution of n bulk-to-boundary SUGRA
College: Faculty of Science and Engineering
Issue: 06
Start Page: 023
End Page: 023