New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation
Abstract
We discover a surprising relationship between exceptional effective field theories (EFTs) in de Sitter space and a notion of \textit{generalised energy conservation} (GEC) of an S-matrix defined in an extended Poincar\'{e} patch of four-dimensional de Sitter. By demanding that such an S-matrix only has support when the total energies of in and out states are equal, we constrain the coupling constants in theories of self-interacting scalars living in the exceptional series of de Sitter representations. We rediscover the theories of Dirac-Born-Infeld (DBI) and Special Galileon, and when increasing the conformal dimension we find evidence for new exceptional theories where the four-point scalar self interactions are uniquely fixed in terms of a single coupling constant. We conjecture that for each integer conformal dimension , there is at least one exceptional EFT that can be entirely fixed by GEC.
Cite
@article{arxiv.2506.21759,
title = {New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation},
author = {Zong-Zhe Du and David Stefanyszyn},
journal= {arXiv preprint arXiv:2506.21759},
year = {2025}
}