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Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity

Pei-Ming Ho·Miao Li
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Abstract

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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Pei-Ming Ho, Miao Li. 2000-04-29. Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity. https://doi.org/10.1016/s0550-3213(00)00594-0

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