English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Using Krasnov's formulation of General Relativity (GR), we develop alightcone ansatz for self-dual gravity (along with linearized anti-self-dualperturbations) in the Poincare patch of de Sitter space. This amounts to ageneralization of Plebanski's "second heavenly equation" to non-zerocosmological constant. The only interaction vertices are cubic ones, foundpreviously by Metsaev in a bottom-up lightcone approach. We point out a specialfeature of these vertices, which leads to "almost conservation" of energy ateach successive order in perturbation theory, despite the time-dependent deSitter background. Since we embed the lightcone variables into a full spacetimemetric, the solutions have a clear geometric interpretation. In particular,this allows us to read off boundary data on both the past and future horizonsof a causal (static) patch. In this way, we add self-dual GR to the program ofdefining & computing scattering amplitudes in a causal patch of de Sitterspace.

Self-dual gravity in de Sitter space: lightcone ansatz and static-patch scattering