CMB from CFT
By Ishan Mata, S. Raju, S. Trivedi. Journal of High Energy Physics, 2012
140 citations recorded by the source corpus.
A bstractDuring inflation, spacetime is approximately described by de Sitter space which is conformally invariant with the symmetry group SO(1,4). This symmetry can significantly constrain the quantum perturbations which arise in the inflationary epoch. We consider a general situation of single field inflation and show that the three point function involving two scalar modes and one tensor mode is uniquely determined, up to small corrections, by the conformal symmetries. Special conformal transformations play an important role in our analysis. Our result applies only to models where the inflaton sector also approximately preserves the full conformal group and shows that this three point function is a good way to test if special conformal invariance was preserved during inflation.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5897b6eb4efdef0bd5a5dc326d1add1879ef85a6
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Citations in the corpus
- A Mellin space approach to cosmological correlators (2019, unknown): “[6–18] for some recent efforts.”
- Bootstrapping inflationary correlators in Mellin space (2019, unknown): “[29, 104, 109–112].”
- Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies (2015, background): “The initial motivation for this work was the need for momentum-space CFT correlators in the context of holographic cosmology [8–12]; similar applications of conformal/de Sitter symmetry in cosmology have been discussed in [13–21].”
- The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, methodology): “These kinematic requirements have important consequences for the correlations generated during inflation—in particular, the late-time wavefunction is strongly constrained by the de Sitter symmetry [41, 42, 55, 72–76].”
- Building a boostless bootstrap for the bispectrum (2020, result): “ive graviton bispectrum. A similar result was found in [7] for the bispectrum of a spectator scalar (see also [8]). Approximate versions of de Sitter isometries were also shown to x mixed correlators [9,10,11,12], as well as the leading curvature bispectrum in single-clock slow-roll in ation in the ”
- The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “ential equation with local source terms that are controlled by symmetry. These contributions are not captured by our ansatz, but can be accounted for by adding the known expressions in the literature [28,32].22 Substituting the scalar solution (4.54) into (4.26), we get the four-point function for m”
- The Cosmological Optical Theorem (2020, background): “Many steps forward have been made over the years on this front [14, 15, 16, 17, 18, 19, 6, 20] and much interest and progress has appeared recently in the literature [9, 21, 22, 23, 24, 25].”
- An infinite set of Ward identities for adiabatic modes in cosmology (2013, background): “The conformal symmetries are restored (and linearly realized on the fields) in the limit that the background becomes exact de Sitter space [49–56].”
- Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, background): “This observation led to the elegant proposal of a close connection between dS and Euclidean AdS perturbation theory in [12] (see also [13, 14]).”
- Implications of conformal invariance in momentum space (2013, methodology): “Our original motivation for analysing this question was the requirement for these results in our work on holographic cosmology [14–18], and similar applications of the conformal/de Sitter symmetry in cosmology have been discussed in [19–25].”