Conformal Symmetries of Adiabatic Modes in Cosmology
By Kurt Hinterbichler, L. Hui, J. Khoury. 2012
181 citations recorded by the source corpus.
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 an infinite set of large gauge transformations which maintain the transverse, traceless gauge condition, while shifting the tensor mode non-trivially.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7682d99d9a3124fc42079a03886180645a713149
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Citations in the corpus
- Inflation, Cosmic Perturbations and Non-Gaussianities (2013, background): “For example, in the ζ-gauge, there is still residue global symmetry, known as the large gauge transformation [72].”
- Symmetries and loops in inflation (2012, methodology): “We then use symmetry [2, 11] to constrain the operators appearing in f [ζ̂].”
- On soft limits of inflationary correlation functions (2012, methodology): “As explained nicely in recent work by Creminelli, Noreña, and Simonović [12] and Hinterbichler, Hui and Khoury [11], the symmetries in eqs.”
- Inflation and String Theory (2014, methodology): “This links the comoving curvature perturbation R with the Goldstone boson π of spontaneous symmetry breaking during inflation [55,56].”
- An infinite set of Ward identities for adiabatic modes in cosmology (2013, methodology): “In the absence of tensors, for instance, it has been argued recently that conformal transformations on spatial slices are residual symmetries of the scalar sector [47, 48].”
- Single-field consistency relations of large scale structure part II: resummation and redshift space (2013, background): “We stress here that the relativistic consistency relations that we formulate are not different from those that apply to inflation [13, 14, 15, 16, 17, 18, 19, 20].”