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arXiv · 2506.21759

New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation

Zong-Zhe Du·David Stefanyszyn
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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 $\Delta \geq 4$, there is at least one exceptional EFT that can be entirely fixed by GEC.

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Zong-Zhe Du, David Stefanyszyn. 2025-06-26. New Exceptional EFTs in de Sitter Space from Generalised Energy Conservation. https://doi.org/10.1103/bsyw-czt5

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