Fuzzy Gravitons From Uncertain Spacetime

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 $ΔtΔx>\ap$ 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.

10 pages, harvmac. v2: a ref. and a note added; v3: A remark and one more ref. added

References in corpus (7)

• Dielectric-Branes
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
• Flux Stabilization of D-branes
• A Generalized Shannon Sampling Theorem, Fields at the Planck Scale as Bandlimited Signals
• Non commutative gravity from the ADS/CFT correspondence
• Worldvolume Uncertainty Relations for D-Branes

Cited by in corpus (12)

• Brane Dynamics in Background Fluxes and Non-commutative Geometry
• D2-branes in B fields
• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
• Nahm's equations, $N=1^{\ast }$ domain walls, and D-strings in $Ad{S}_{5}x{S}_5$
• Formation of Spherical D2-brane from Multiple D0-branes
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Large N Expansion From Fuzzy AdS_2
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Matrix dynamics of fuzzy spheres
• Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled Scalar Field on the Brane
• CP^n Model on Fuzzy Sphere
• Giant Gravitons in type IIA PP-wave Background