Noncommutative spheres and the AdS/CFT correspondence

Abstract

We present direct arguments for non-commutativity of spheres in the AdS/CFT correspondence. The discussion is based on results for the $S_N$ orbifold SCFT. Concentrating on three point correlations (at finite $N$) we exhibit a comparison with correlations on a non-commutative sphere. In this manner an essential signature of non-commutativity is identified giving further support for the original proposal of hep-th/9902059.

15 pages, harvmac big. Version 3 - references added

References in corpus (3)

• String Theory and the Space-Time Uncertainty Principle
• Matrix Strings in Weakly Curved Background Fields
• Three point functions and the effective lagrangian for the chiral primary fields in D=4 supergravity on AdS2 x S2

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• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• Fuzzy Sphere from Matrix Model
• Exact operator bosonization of finite number of fermions in one space dimension
• A note on the geometrical interpretation of quantum groups and non-commutative spaces in gravity
• Fluctuating Fuzzy Funnels
• Hidden classical symmetry in quantum spaces at roots of unity : From q-sphere to fuzzy sphere