Conformal bootstrap in Mellin space from GG systems
High Energy Physics - Theory
2026-01-29 v3 Algebraic Geometry
Abstract
A simple scheme to express the Mellin transform of -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.
Cite
@article{arxiv.2511.05979,
title = {Conformal bootstrap in Mellin space from GG systems},
author = {Koushik Ray},
journal= {arXiv preprint arXiv:2511.05979},
year = {2026}
}
Comments
9 pages, 2 figures. References added. Some explanatory remarks on the connection to the GKZ system and independence on the $\beta$ parameters added. Version to appear in Phys Lett B