Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity Original Research Article

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×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.