Work

OPE and correlation functions in a generally covariant form

Year: 2026

Type: preprint

Abstract: In this paper we consider some general aspects of Euclidean conformal field theories on curved spaces of dimension $D\ge 3$. We first look at the OPE of scalar primary fields on conformally flat spaces. Extending the results of \cite{Konechny:2026bqg}, we give a general construction of the descendants' contributions to the OPE in the scalar channel. We then discuss CFTs on non-conformally flat spaces in the ambient space formalism. We investigate the short-distance behaviour of three-point functions on such spaces using the general ansatz proposed by Parisini, Skenderis, and Withers \cite{Parisini:2022wkb, Parisini:2023nbd}. We find that some additional corrections need to be added to the ansatz to ensure the existence of a local covariant OPE.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.28743

Authors: Das, Arpit, Konechny, Anatoly, Umasankar, Naveen Balaji

Institutions: Heriot-Watt University, Maxwell Institute for Mathematical Sciences, Yale University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Arthritis National Research Foundation, National Research Foundation, Science and Technology Facilities Council

Award: Particle Theory at the Higgs Centre

OpenAlex ID: W7204886695

Cites: 13

Cited by:

Related to: 10