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Carroll Symmetry, Dark Energy and Inflation
Univ Amsterdam, Inst Theoret Phys, Amsterdam, Netherlands.;Univ Amsterdam, Delta Inst Theoret Phys, Amsterdam, Netherlands..
Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland.;Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh, Midlothian, Scotland..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Univ Copenhagen, Niels Bohr Inst, Copenhagen, Denmark..ORCID iD: 0000-0003-4947-8526
Univ Iceland, Sci Inst, Reykjavik, Iceland..
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2022 (English)In: Frontiers in Physics, E-ISSN 2296-424X, Vol. 10, article id 810405Article in journal (Refereed) Published
Abstract [en]

Carroll symmetry arises from Poincare symmetry upon taking the limit of vanishing speed of light. We determine the constraints on the energy-momentum tensor implied by Carroll symmetry and show that for energy-momentum tensors of perfect fluid form, these imply an equation of state epsilon + P = 0 for energy density plus pressure. Therefore Carroll symmetry might be relevant for dark energy and inflation. In the Carroll limit, the Hubble radius goes to zero and outside it recessional velocities are naturally large compared to the speed of light. The de Sitter group of isometries, after the limit, becomes the conformal group in Euclidean flat space. We also study the Carroll limit of chaotic inflation, and show that the scalar field is naturally driven to have an equation of state with w = - 1. Finally we show that the freeze-out of scalar perturbations in the two point function at horizon crossing is a consequence of Carroll symmetry. To make the paper self-contained, we include a brief pedagogical review of Carroll symmetry, Carroll particles and Carroll field theories that contains some new material as well. In particular we show, using an expansion around speed of light going to zero, that for scalar and Maxwell type theories one can take two different Carroll limits at the level of the action. In the Maxwell case these correspond to the electric and magnetic limit. For point particles we show that there are two types of Carroll particles: those that cannot move in space and particles that cannot stand still.

Place, publisher, year, edition, pages
Frontiers Media SA , 2022. Vol. 10, article id 810405
Keywords [en]
carroll symmetry, inflation, dark energy, field theory, carrollian dynamics
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-312683DOI: 10.3389/fphy.2022.810405ISI: 000792767200001Scopus ID: 2-s2.0-85128633287OAI: oai:DiVA.org:kth-312683DiVA, id: diva2:1660529
Note

QC 20220524

Available from: 2022-05-24 Created: 2022-05-24 Last updated: 2022-06-25Bibliographically approved

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Obers, Niels A.

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