Conformal bootstrap in Mellin space from GG systems

Fuente: arXiv
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Autor principal: Ray, Koushik
Formato: Preprint
Publicado: 2025
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author Ray, Koushik
author_facet Ray, Koushik
contents A simple scheme to express the Mellin transform of $D$-dimensional Euclidean conformal bootstrap equation is presented by relating conformal blocks to a Gauss-Grassmann (GG) system due to Gelfand-Graev, associated to conformal integrals, which, in turn, are generalised hypergeometric functions. Usefulness of the expression for obtaining bounds on the spectrum of fields is demonstrated.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05979
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Conformal bootstrap in Mellin space from GG systems
Ray, Koushik
High Energy Physics - Theory
Algebraic Geometry
A simple scheme to express the Mellin transform of $D$-dimensional Euclidean conformal bootstrap equation is presented by relating conformal blocks to a Gauss-Grassmann (GG) system due to Gelfand-Graev, associated to conformal integrals, which, in turn, are generalised hypergeometric functions. Usefulness of the expression for obtaining bounds on the spectrum of fields is demonstrated.
title Conformal bootstrap in Mellin space from GG systems
topic High Energy Physics - Theory
Algebraic Geometry
url https://arxiv.org/abs/2511.05979