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Multi - instantons and Maldacena's conjecture

By N. Dorey, T.J. Hollowood, V.V. Khoze, M.P. Mattis and S. Vandoren


We examine certain n-point functions Gn in N = 4 supersymmetric SU(N) gauge theory\ud at the conformal point. In the large-N limit, we are able to sum all leading-order multiinstanton\ud contributions exactly. We find compelling evidence for Maldacena’s conjecture:\ud (1) The large-N k-instanton collective coordinate space has the geometry of AdS5 × S5 .\ud (2) In exact agreement with type IIB superstring calculations, at the k-instanton level, Gn =\ud √N g8 kn−7/2e−8n2k/g2Ed|k d−2 · Fn(x1, . . . , xn), where Fn is identical to a convolution of n\ud bulk-to-boundary SUGRA propagators

Topics: Natuur- en Sterrenkunde
Publisher: SISSA
Year: 1998
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