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Title: Positive geometry for de Sitter correlators of massless fields
Plain: A geometric shape, the cosmological polytope, gives the quantum state of the early universe for a simple toy field. Extending it to the fields that matter, such as massless particles and gravitons in an expanding universe, is open.
Precise: The cosmological polytope (Arkani-Hamed, Benincasa, Postnikov, 2017) gives wavefunction coefficients of conformally coupled scalars with polynomial interactions in flat space and FRW backgrounds as canonical forms. Find a positive geometry whose canonical form gives tree-level wavefunction coefficients or in-in correlators of massless minimally coupled scalars or gravitons in de Sitter space.
Settled by: An explicit geometry reproducing the known four-point graviton or massless-scalar de Sitter wavefunction coefficients.
Kind: well-posed
Answer type: identification
References: (empty)
Literature status: open
Status note: (empty)
Posed since: (empty)