QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions
Abstract
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, the two-point function is given explicitly in terms of the Appell function .
Cite
@article{arxiv.2502.17595,
title = {QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions},
author = {Bojana Brkić and Ilija Burić and Maja Burić and Dušan Đorđević and Duško Latas},
journal= {arXiv preprint arXiv:2502.17595},
year = {2025}
}
Comments
32 pages, four figures; v2: further elaboration on internal space, interpretation of results, and appendix E added; matches the version published in JHEP