Decoding the matrix: Coincident membranes on the plane wave

Details Decoding the matrix: Coincident membranes on the plane wave Decoding the matrix: Coincident membranes on the plane wave

2005-10-14

arxiv.org/abs/hep-th/0510121v1

Phys.Rev.D73:066014,2006

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 2 figures

Scientific paper

10.1103/PhysRevD.73.066014

At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present this mapping is poorly understood. The plane wave matrix model provides a laboratory for isolating aspects of this problem in a controlled setting. At large boosts, configurations of concentric membranes become superselection sectors, whose exact spectra are known. From the bulk point of view one expects product states of individual membranes to be contained within the full spectrum. However, for non-BPS states this inclusion relation is obscured by Gauss law constraints. Its validity rests on nontrivial relations in representation theory, which we identify and verify by explicit computation.

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