Graph theoretical approach to conformal correlators

We introduce a discrete, graph theoretical approach to conformal field theory correlators. In a certain basis, called the squid basis, the correlator of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>N</a:mi></a:math> scalar operators can be expressed as the determinant of a natural, conformally covariant metric on a weighted graph, called the squid graph. We present the construction of this metric and discuss its possible role in constraining conformal data. Published by the American Physical Society 2024