Conformal bootstrap in Mellin space from GG systems

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.

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Publication Details

Journal
Physics Letters B
Published
2026-01-27
DOI
https://doi.org/10.1016/j.physletb.2026.140206
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
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article

Conformal bootstrap in Mellin space from GG systems

Koushik Ray
Physics Letters B
Mathematical functions and polynomials
article

Conformal bootstrap in Mellin space from GG systems

Koushik Ray
article en

Abstract

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.

Physics Letters BVol. 873
Indian Association for the Cultivation of Science (IN)
Openalex Percentile: Top 75%
Mathematical functions and polynomials
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Conformal bootstrap in Mellin space from GG systems — Koushik Ray · Physics Letters B (2026) | TGRS Research Map | TGRS