Fuzzy Gravitons From Uncertain Spacetime

The recently proposed remarkable mechanism explaining ``stringy exclusion principle" on an Anti de Sitter space is shown to be another beautiful manifestation of spacetime uncertainty principle in string theory as well as in M theory. Put in another way, once it is realized that the graviton of a given angular momentum is represented by a spherical brane, we deduce the maximal angular momentum directly from either the relation $\mathrm{\Delta }t\mathrm{\Delta }{x}^2>l_p^3$ in M theory or $\mathrm{\Delta }t\mathrm{\Delta }x>\text{ap}$ in string theory. We also show that the result of hep-th/0003075 is similar to results on D2-branes in SU(2) WZW model. Using the dual D2-brane representation of a membrane, we obtain the quantization condition for the size of the membrane.