Fuzzy Gravitons From Uncertain Spacetime

TL;DR

This paper links the stringy exclusion principle in AdS space to the spacetime uncertainty principle in string and M theory, showing how maximal angular momentum of gravitons relates to brane representations and uncertainty relations.

Contribution

It demonstrates the connection between the exclusion principle and spacetime uncertainty, deriving maximal angular momentum from uncertainty relations and relating results to D-brane models.

Findings

Maximal angular momentum derived from uncertainty principles.

Relation between gravitons and spherical branes established.

Quantization condition for membrane size obtained.

Abstract

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 $\Delta t\Delta x^2>l_p^3$ in M theory or $\Delta t\Delta x>\ap$ 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.