Snowmass white paper: The cosmological bootstrap

Author:

Baumann Daniel123,Green Daniel4,Joyce Austin5,Pajer Enrico6,L. Pimentel Guilherme7819ORCID,Sleight Charlotte101112,Taronna Massimo1112

Affiliation:

1. Institute of Physics, University of Amsterdam

2. Leung Center for Cosmology and Particle Astrophysics

3. National Taiwan University

4. University of California, San Diego

5. University of Chicago

6. University of Cambridge

7. INFN Sezione di Pisa

8. Scuola Normale Superiore di Pisa

9. Lorentz Institute

10. Durham University

11. INFN Napoli

12. University of Naples Federico II

Abstract

This white paper summarizes recent progress in the cosmologicalbootstrap, an approach to the study of the statistics of primordialfluctuations from consistency with unitarity, locality and symmetryassumptions. We review the key ideas of the bootstrap method, with aneye towards future directions and ambitions of the program. Focusing onrecent progress involving de Sitter and quasi-de Sitter backgrounds, wehighlight the role of singularities and unitarity in constraining theform of the correlators. We also discuss nonperturbative formulations ofthe bootstrap, connections to anti-de Sitter space, and potentialimplications for holography.

Funder

European Research Council

Instituto Nazionale di Fisica Nucleare

Ministero dell'Università e della Ricerca

Ministry of Education

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Science and Technology Facilities Council

Scuola Normale Superiore

United States Department of Energy

Publisher

Stichting SciPost

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