Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity

Details Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity

2000-04-11

arxiv.org/abs/hep-th/0004072v2

Nucl.Phys. B596 (2001) 259-272

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, one comment and reference added

Scientific paper

10.1016/S0550-3213(00)00594-0

We show that the existent fuzzy S^2 and S^4 models are natural candidates for the quantum geometry on the corresponding spheres in AdS/CFT correspondence. These models fit nicely the data from the dipole mechanism for the stringy exclusion principle. In the AdS_2 X S^2 case, we show that a wrapped fractional membrane can be used to count for the large ground state degeneracy. We also propose a fuzzy AdS_2 model whose fundamental commutation relation may underlie the UV/IR connection.

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