Analysis reveals boundary correlation functions and their deformation in fuzzy anti-de Sitter spaces, suggesting insights into noncommutative geometry.
A bstract Quantum field theory on two- and three-dimensional fuzzy anti-de Sitter spaces is introduced and studied. We find a complete set of solutions to the fuzzy Klein-Gordon equation and identify the commutative limit in which they reduce to classical scalar field modes. After introducing the noncommutative boundary via semi-classical states, the fuzzy modes are used to obtain the boundary two-point function. In both two and three dimensions, this gives an interesting two-parameter deformation of the conformal two-point function. For the fuzzy AdS 2 , the two-point function is given explicitly in terms of the Appell function F 1 .
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Brkić et al. (2025) studied this question.
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