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Symbol Recursion for the dS Wave Function

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arxiv 1912.09450 v1 pith:IDF4ZRNS submitted 2019-12-19 hep-th gr-qc

Symbol Recursion for the dS Wave Function

classification hep-th gr-qc
keywords rulecontributioncosmologiesfunctionsymboltree-levelwaveapplies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies. The rule applies exactly for a class of interactions and cosmologies, which contains {\lambda}{\phi}^3 in dS_4, a case of particular relevance as a source of building blocks for inflationary correlators. We use the rule to efficiently reproduce the tree-level four-point contribution and present novel computations of the bubble integrand and the tree-level five-point contribution. Our results apply equally well to the computation of Witten diagrams in Euclidean AdS.

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Cited by 4 Pith papers

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    hep-th 2026-04 unverdicted novelty 7.0

    A graph-tubing combinatorial framework governs the first-order differential equations obeyed by master integrals for massive cosmological correlators in de Sitter space.

  4. de Sitter Wavefunction from Quadrangular Polylogarithms: Chain Graphs

    hep-th 2026-05 unverdicted novelty 6.0

    The n-site chain graph contribution to the de Sitter cosmological wavefunction in conformally coupled φ³ theory is expressed explicitly in terms of Rudenko's quadrangular polylogarithms.