Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity
Abstract
We show that the existent fuzzy S2 and S4 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 AdS2 X S2 case, we show that a wrapped fractional membrane can be used to count for the large ground state degeneracy. We also propose a fuzzy AdS2 model whose fundamental commutation relation may underlie the UV/IR connection.
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