Amplitudes in self-dual (higher-spin) theories
High Energy Physics - Theory
2026-04-29 v1
Abstract
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.
Cite
@article{arxiv.2604.24873,
title = {Amplitudes in self-dual (higher-spin) theories},
author = {Mattia Serrani and Evgeny Skvortsov},
journal= {arXiv preprint arXiv:2604.24873},
year = {2026}
}
Comments
30+Appendices+refs=38 pages