Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3

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dc.creatorKim, Nakwoo
dc.creatorKlose, Thomas
dc.creatorPlefka, Jan
dc.date2003-06-06
dc.date2003-09-15
dc.date.accessioned2026-07-07T12:03:41Z
dc.date.available2026-07-07T12:03:41Z
dc.descriptionRecently a mass deformation of the maximally supersymmetric Yang-Mills quantum mechanics has been constructed from the supermembrane action in eleven dimensional plane-wave backgrounds. However, the origin of this plane-wave matrix theory in terms of a compactification of a higher dimensional Super Yang-Mills model has remained obscure. In this paper we study the Kaluza-Klein reduction of D=4, N=4 Super Yang-Mills theory on a round three-sphere, and demonstrate that the plane-wave matrix theory arises through a consistent truncation to the lowest lying modes. We further explore the relation between the dilatation operator of the conformal field theory and the hamiltonian of the quantum mechanics through perturbative calculations up to two-loop order. In particular we find that the one-loop anomalous dimensions of pure scalar operators are completely captured by the plane-wave matrix theory. At two-loop level this property ceases to exist.
dc.description25 pages, 1 figure. v2: minor corrections, version to appear in NPB
dc.identifierhttps://arxiv.org/abs/hep-th/0306054
dc.identifierhttp://arxiv.org/abs/hep-th/0306054
dc.identifierNucl.Phys.B671:359-382,2003
dc.identifierdoi:10.1016/j.nuclphysb.2003.08.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207869
dc.subjectHigh Energy Physics - Theory
dc.titlePlane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
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