An $AdS_{3}$ Dual for Supersymmetric MHV Celestial Amplitudes

TL;DR

This paper introduces a novel holographic model based on an extended supersymmetric AdS3 space that reproduces tree-level MHV celestial amplitudes for gravitons and gluons in supergravity and SYM theories.

Contribution

It generalizes the WZNW model to a supersymmetric AdS3 setting, providing a new holographic framework for celestial amplitudes.

Findings

Successfully reproduces tree-level MHV celestial amplitudes

Connects supersymmetric AdS3 models with four-dimensional gauge and gravity theories

Offers a new approach to holographic dualities in celestial holography

Abstract

We propose a generalisation of the Wess-Zumino-Novikov-Witten (WZNW) model, formulated on a holomorphic extension of supersymmetric three-dimensional Anti-de Sitter $\left(AdS_{3}\right)$ space, which holographically reproduces the tree-level maximally-helicity-violating (MHV) celestial amplitudes for gravitons in $\mathcal{N}=8$ supergravity and gluons in four-dimensional $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory.