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.