Work

QFT on fuzzy AdS spaces: classical limit and boundary correlation functions

Year: 2025

Type: article

Abstract: 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 .

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2025)068

Authors: Bojana Brkić, Ilija Burić, Maja Burić, Dušan Ðorđević, Duško Latas

Institutions: University of Belgrade, Trinity College Dublin

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Science Foundation Ireland, Science Fund of the Republic of Serbia

Award: G1617168581