Fuzzy Sphere from Matrix Model

Abstract

Using a D0-brane as a probe, we study the spacetime geometry in the neighborhood of N D-branes in matrix theory. We find that due to fermionic zero modes, the coordinates of the probe in the transverse directions are noncommutative, and the angular part is a fuzzy sphere.

10 pages, minor modification

References in corpus (6)

• Giant Gravitons, BPS bounds and Noncommutativity
• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
• Matrix Strings in Weakly Curved Background Fields
• Large N Expansion From Fuzzy AdS_2
• Noncommutative spheres and the AdS/CFT correspondence
• Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere

Cited by in corpus (14)

• Giant Gravitons in Conformal Field Theory
• Coherent State Induced Star-Product on $R_{\lambda }^3$ and the Fuzzy Sphere
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• M-theory branes and their interactions
• Higher Dimensional Geometries from Matrix Brane constructions
• Higher dimensional geometries related to fuzzy odd-dimensional spheres
• A unifying perspective on the Moyal and Voros products and their physical meanings
• Giant Gravitons and Fuzzy CP^2
• Non--Commutative Field Theories beyond Perturbation Theory
• CP^n Model on Fuzzy Sphere
• Aspects of M-Theory Brane Interactions and String Theory Symmetries
• Quantum Stabilization of Compact Space by Extra Fuzzy Space
• Thermodynamics on Fuzzy Spacetime
• The Fuzzy Sphere: From The Uncertainty Relation To The Stereographic Projection