Locality constraints in AdS2 without parity
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.
Institutions
- Centre National de la Recherche Scientifique (FR)
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
- Université Paris-Saclay (FR)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
- CEA Paris-Saclay (FR)
- Institut de Physique Théorique (FR)
- École Polytechnique Fédérale de Lausanne (CH)
- University of Turin (IT)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2026-04-01
- DOI
- https://doi.org/10.1007/jhep04(2026)001
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
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