Noncommutative spheres and the AdS/CFT correspondence
Antal Jevicki, Mihail Mihailescu, Sanjaye Ramgoolam
TL;DR
This paper provides evidence for the non-commutative nature of spheres within the AdS/CFT framework by analyzing three-point correlations in orbifold SCFTs and comparing them to non-commutative sphere correlations.
Contribution
It offers direct arguments and concrete comparisons that support the non-commutative structure of spheres in AdS/CFT, extending previous theoretical proposals.
Findings
Identification of non-commutativity signature in three-point correlations
Comparison between orbifold SCFT and non-commutative sphere correlations
Support for the non-commutative sphere proposal in AdS/CFT
Abstract
We present direct arguments for non-commutativity of spheres in the AdS/CFT correspondence. The discussion is based on results for the orbifold SCFT. Concentrating on three point correlations (at finite ) 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.
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