Instantons, the Information Metric, and the AdS/CFT Correspondence

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dc.creatorBlau, Matthias
dc.creatorNarain, K. S.
dc.creatorThompson, George
dc.date2001-08-16
dc.date.accessioned2026-07-07T04:12:07Z
dc.date.available2026-07-07T04:12:07Z
dc.descriptionWe describe some remarkable properties of the so-called Information Metric on instanton moduli space. This Metric is manifestly gauge and conformally invariant and coincides with the Euclidean AdS_5 metric on the one-instanton SU(2) moduli space for the standard metric on R^4. We propose that for an arbitrary boundary metric the AdS/CFT bulk space-time is the instanton moduli space equipped with the Information Metric. To test this proposal, we examine the variation of the instanton moduli and the Information Metric for first-order perturbations of the boundary metric and obtain three non-trivial and somewhat surprising results: (1) The perturbed Information Metric is Einstein. (2) The perturbed instanton density is the corresponding massless boundary-to-bulk scalar propagator. (3) The regularized boundary-to-bulk geodesic distance is proportional to the logarithm of the perturbed instanton density. The Hamilton-Jacobi equation implied by (3) equips the moduli space with a rich geometrical structure which we explore. These results tentatively suggest a picture in which the one-instanton sector of SU(2) Yang-Mills theory (rather than some large-N limit) is in some sense holographically dual to bulk gravity.
dc.description44 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0108122
dc.identifierhttp://arxiv.org/abs/hep-th/0108122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50843
dc.subjectHigh Energy Physics - Theory
dc.titleInstantons, the Information Metric, and the AdS/CFT Correspondence
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