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 − ɛ expansion, the large N expansion and the 2 + ϵ ̃ 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 ɛ anomalous dimensions, are made available through an ancillary data file. [ABSTRACT FROM AUTHOR]