Year: 2026
Type: article
Abstract: A bstract We study bulk locality constraints in quantum field theories in AdS 2 . The known derivation of locality sum rules in AdS d +1 does not apply for d = 1 due to the different singularity structure of the conformal blocks and the inequivalence of operator orderings on the boundary. Assuming unitarity and a mild growth condition, we establish power-law bounds for correlators, derive dispersion relations and an expansion in terms of “even” and “odd” local blocks that converges in the entire AdS 2 . These yield two novel families of symmetric and antisymmetric locality sum rules. We test these sum rules explicitly in the free scalar field theory.
Source: Journal of High Energy Physics
Authors: Manuel Loparco, Grégoire Mathys, João Penedones, Jiaxin Qiao, Xiang Zhao
Institutions: École Polytechnique Fédérale de Lausanne, University of Turin, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, Centre National de la Recherche Scientifique, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay - Etablissement de Saclay, Institut de Physique Théorique
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, Simons Foundation, Aspen Center for Physics, National Centres of Competence in Research SwissMAP, Agence Nationale de la Recherche, Ministry of Education, Culture, Sports, Science and Technology, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
OpenAlex ID: W7147561539