Solving Superconformal Ward Identities in Mellin Space

Fuente: arXiv
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Main Author: Virally, Clément
Format: Preprint
Published: 2025
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author Virally, Clément
author_facet Virally, Clément
contents We study four-point correlators in superconformal theories in various dimensions. We develop an efficient method to solve the superconformal Ward identities in Mellin space. For 4d $\mathcal{N}=4$ SYM and the 6d $\mathcal{N}=(2,0)$ theory, our method reproduces the known solutions. As novel applications of this method, we also derive solutions in 3d $\mathcal{N} = 8$ ABJM, and in 4d $\mathcal{N} = 4$ SYM with line defects.
format Preprint
id arxiv_https___arxiv_org_abs_2503_09703
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Solving Superconformal Ward Identities in Mellin Space
Virally, Clément
High Energy Physics - Theory
We study four-point correlators in superconformal theories in various dimensions. We develop an efficient method to solve the superconformal Ward identities in Mellin space. For 4d $\mathcal{N}=4$ SYM and the 6d $\mathcal{N}=(2,0)$ theory, our method reproduces the known solutions. As novel applications of this method, we also derive solutions in 3d $\mathcal{N} = 8$ ABJM, and in 4d $\mathcal{N} = 4$ SYM with line defects.
title Solving Superconformal Ward Identities in Mellin Space
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.09703