Amplitudes in self-dual (higher-spin) theories

Fuente: arXiv
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Main Authors: Serrani, Mattia, Skvortsov, Evgeny
Format: Preprint
Published: 2026
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author Serrani, Mattia
Skvortsov, Evgeny
author_facet Serrani, Mattia
Skvortsov, Evgeny
contents Self-dual theories are powerful toy models of their completions. It was shown recently that there are infinitely many SD-theories once massless higher-spin fields are allowed. The maximal SD-theory is chiral higher-spin gravity. Following the recent [arxiv:2602.12176] we show that all SD-theories, including those with massless higher-spin fields, have nontrivial tree-level amplitudes in Kleinian signature or complex Minkowski kinematics. Within celestial holography, the nontriviality of amplitudes in chiral higher-spin gravity provides the missing ingredient needed to complete the celestial analogue of the vector-model/higher-spin AdS/CFT duality.
format Preprint
id arxiv_https___arxiv_org_abs_2604_24873
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Amplitudes in self-dual (higher-spin) theories
Serrani, Mattia
Skvortsov, Evgeny
High Energy Physics - Theory
Self-dual theories are powerful toy models of their completions. It was shown recently that there are infinitely many SD-theories once massless higher-spin fields are allowed. The maximal SD-theory is chiral higher-spin gravity. Following the recent [arxiv:2602.12176] we show that all SD-theories, including those with massless higher-spin fields, have nontrivial tree-level amplitudes in Kleinian signature or complex Minkowski kinematics. Within celestial holography, the nontriviality of amplitudes in chiral higher-spin gravity provides the missing ingredient needed to complete the celestial analogue of the vector-model/higher-spin AdS/CFT duality.
title Amplitudes in self-dual (higher-spin) theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.24873