Cosmology meets cohomology

De, Shounak; Pokraka, Andrzej

doi:10.1007/jhep03(2024)156

Title: Cosmology meets cohomology

Journal Article · 26 March 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2024)156 · OSTI ID:2339474

^[1];

^[2]

Brown Univ., Providence, RI (United States); BROWN UNIVERSITY
Brown Univ., Providence, RI (United States)

The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the amplitudes community with the wavefunction of the Universe in toy models of FRW cosmologies. To compute these FRW correlators, one often faces integrals that are too difficult to evaluate by direct integration. Borrowing from the Feynman integral community, the method of (canonical) differential equations provides an efficient alternative for evaluating these integrals. Moreover, we further develop our geometric understanding of these integrals by describing the associated relative twisted cohomology. Leveraging recent progress in our understanding of relative twisted cohomology in the Feynman integral community, we give an algorithm to predict the basis size and simplify the computation of the differential equations satisfied by FRW correlators.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010010

OSTI ID:: 2339474

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
cosmological models
differential and algebraic geometry
de Sitter space
scattering amplitudes

Title: Cosmology meets cohomology

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