The critical O(N) CFT: Methods and conformal data

The critical O(N) CFT in spacetime dimensions 2 < d < 4 is one of the most important examples of a conformal field theory, with the Ising CFT at N = 1, 2 <= d < 4, as a notable special case. Apart from numerous physical applications, it serves frequently as a concrete testing ground for new approaches and techniques based on conformal symmetry. In the perturbative limits - the 4 - epsilon expansion, the large N expansion and the 2+epsilon similar to expansion - a lot of conformal data have been computed over the years. In this report, we give an overview of the critical O(N) CFT, including some methods to study it, and present a large collection of conformal data. The data, extracted from the literature and supplemented by many additional computations of order epsilon anomalous dimensions, are made available through an ancillary data file. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

The critical O(N) CFT, occurring in spacetime dimensions 2 < d < 4, is a significant example of a conformal field theory, with the Ising CFT at N = 1, 2 <= d < 4, as a notable instance. Besides its many physical applications, it serves as a practical platform for testing new approaches and techniques based on conformal symmetry. Various conformal data have been computed in perturbative limits, such as the 4 - epsilon expansion, the large N expansion, and the 2+epsilon similar to expansion. This report provides an overview of the critical O(N) CFT, discusses methods for studying it, and presents a comprehensive collection of conformal data, including additional computations of order epsilon anomalous dimensions available in an ancillary data file.