Graph theoretical approach to conformal correlators: The conformal squid

Fuente: arXiv
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Main Authors: Irges, Nikos, Kastrinakis, Stylianos
Format: Preprint
Published: 2024
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author Irges, Nikos
Kastrinakis, Stylianos
author_facet Irges, Nikos
Kastrinakis, Stylianos
contents We introduce a discrete, graph theoretic approach to conformal field theory correlators. In a certain basis, called the squid basis, the correlator of N 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08449
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Graph theoretical approach to conformal correlators: The conformal squid
Irges, Nikos
Kastrinakis, Stylianos
High Energy Physics - Theory
Mathematical Physics
We introduce a discrete, graph theoretic approach to conformal field theory correlators. In a certain basis, called the squid basis, the correlator of N 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.
title Graph theoretical approach to conformal correlators: The conformal squid
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2402.08449