Work

Toward holography on biregular trees

Year: 2025

Type: article

Abstract: We study scalar field theory on biregular trees, as a new model for discrete holography. Biregular trees are discrete symmetric spaces associated with the bulk isometry group SU ( 3 ) over the unramified quadratic extension of a nonarchimedean field. The bulk-to-bulk and bulk-to-boundary propagators exhibit distinct features absent on the regular tree or continuum AdS spaces, arising from the semihomogeneous nature of the bulk space. We compute the two- and three-point correlators of the putative boundary dual. The three-point correlator exhibits a nontrivial “tensor structure” via dependence on the homogeneity degree of a unique bulk point specified in terms of boundary insertion points. The computed operator product expansion coefficients show dependence on zeta functions associated with the unramified quadratic extension of a nonarchimedean field. This work initiates the formulation of holography on a family of discrete holographic spaces that exhibit features of both flat space and negatively curved space.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/ms53-88pp

Authors: Arkapal Mondal, Sarthak Parikh, Pulak Pradhan, Ritu Sengar

Institution: Indian Institute of Technology Delhi

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Council of Scientific and Industrial Research, India, Science and Engineering Research Board

Award: G1725500100