Sphalerons, Merons and Unstable Branes in AdS

Details Sphalerons, Merons and Unstable Branes in AdS Sphalerons, Merons and Unstable Branes in AdS

2000-04-18

arxiv.org/abs/hep-th/0004131v1

Phys.Rev. D62 (2000) 086007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 9 figures

Scientific paper

10.1103/PhysRevD.62.086007

We construct unstable classical solutions of Yang-Mills theories and their dual unstable states of type IIB on AdS_5. An example is the unstable D0-brane of type IIB located at the center of AdS. This has a field theory dual which is a sphaleron in gauge theories on S^3 x R. We argue that the two are dual because both are sphalerons associated to the topology of the instanton/D-instanton. This agreement provides a non-supersymmetric test of the AdS/CFT duality. As an illustration, many aspects of Sen's hypothesis regarding the unstable branes can be seen easily in the weakly coupled dual field theory description. In Euclidean AdS the D0-branes are dual to gauge theory merons. This implies that the two ends of a D0-brane world-line carry half the charge of a D-instanton. Other examples involve unstable strings in the Coulomb phase.

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