Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2012/08/017
Keywords
inflation; cosmological perturbation theory
Funding
- University of Pennsylvania
- NASA ATP [NNX11AI95G, NNX08AH27G]
- Alfred P. Sloan Foundation
- DOE [DE-FG02-92-ER40699]
- NASA [NNX10AN14G]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1001296] Funding Source: National Science Foundation
- NASA [NNX08AH27G, 100924] Funding Source: Federal RePORTER
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We remark on the existence of non-linearly realized conformal symmetries for scalar adiabatic perturbations in cosmology. These conformal symmetries are present for any cosmological background, beyond any slow-roll or quasi-de Sitter approximation. The dilatation transformation shifts the curvature perturbation by a constant, and corresponds to the well-known symmetry under spatial rescaling. We argue that the scalar sector is also invariant under special conformal transformations, which shift the curvature perturbation by a term linear in the spatial coordinates. We discuss whether these conformal symmetries can be extended to include tensor perturbations. Tensor modes introduce their own set of non-linearly realized symmetries. We identify art infinite set of large gauge transformations which maintain the transverse, traceless gauge condition, while shifting the tensor mode non-trivially.
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