Nonspherical Giant Gravitons and Matrix Theory
Abstract
Description
We consider the plane wave limit of the nonspherical giant gravitons. We compute the Poisson brackets of the coordinate functions and find a nonlinear algebra. We show that this algebra solves the supersymmetry conditions of the matrix model. This is the generalization of the algebraic realization of the spherical membrane as the ``fuzzy sphere''. We describe finite dimensional representations of the algebra corresponding to the fuzzy torus.
10 pages, LaTeX; references and explanations added; minor corrections
10 pages, LaTeX; references and explanations added; minor corrections