Toward Holography on Biregular Trees
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908604049653760 |
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| author | Mondal, Arkapal Parikh, Sarthak Pradhan, Pulak Sengar, Ritu |
| author_facet | Mondal, Arkapal Parikh, Sarthak Pradhan, Pulak Sengar, Ritu |
| contents | 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 OPE 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20886 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toward Holography on Biregular Trees Mondal, Arkapal Parikh, Sarthak Pradhan, Pulak Sengar, Ritu High Energy Physics - Theory Mathematical Physics 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 OPE 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. |
| title | Toward Holography on Biregular Trees |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.20886 |