Aspects of Instanton Dynamics in AdS/CFT Duality

Details Aspects of Instanton Dynamics in AdS/CFT Duality Aspects of Instanton Dynamics in AdS/CFT Duality

1999-04-27

arxiv.org/abs/hep-th/9904190v1

Phys.Lett. B458 (1999) 288-296

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex, two eps figures

Scientific paper

10.1016/S0370-2693(99)00607-3

We consider aspects of instanton dynamics in the large-N limit using the AdS/CFT duality for D0/D4 bound states. In the supergravity picture of wrapped D0-brane world-lines on D4-branes, we find the single-instanton measure and discuss its dependence on compactification finite-size effects, as well as its matching to perturbative results. In the non-supersymmetric case, the same dynamical effects that produce the theta-angle dependence perturbatively in 1/N, render the instantons unstable, although approximate instantons of very small size still exist. The smeared D0/D4 black-brane supergravity solution can be interpreted as dual to a field theory configuration of an instanton condensate in the vacuum. In this case, we derive a holographic relation between the bare theta angle and the topological charge density of the instanton condensate.

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