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

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

2003-06-06

arxiv.org/abs/hep-th/0306054v2

Nucl.Phys.B671:359-382,2003

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure. v2: minor corrections, version to appear in NPB

Scientific paper

10.1016/j.nuclphysb.2003.08.019

Recently 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.

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