Why Matrix theory works for oddly shaped membranes

Details Why Matrix theory works for oddly shaped membranes Why Matrix theory works for oddly shaped membranes

2001-06-04

arxiv.org/abs/hep-th/0106030v2

Phys.Rev. D64 (2001) 086003

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 4 figures, revtex; references added

Scientific paper

10.1103/PhysRevD.64.086003

We give a simple proof of why there is a Matrix theory approximation for a membrane shaped like an arbitrary Riemann surface. As corollaries, we show that noncompact membranes cannot be approximated by matrices and that the Poisson algebra on any compact phase space is U(infinity). The matrix approximation does not appear to work properly in theories such as IIB string theory or bosonic membrane theory where there is no conserved 3-form charge to which the membranes couple.

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