Imprints of anisotropic inflation on the cosmic microwave background

Abstract

We study the imprints of anisotropic inflation on the CMB temperature fluctuations and polarizations. The statistical anisotropy stems not only from the direction dependence of curvature and tensor perturbations, but also from the cross correlation between curvature and tensor perturbations, and the linear polarization of tensor perturbations. We show that off-diagonal $TB$ and $EB$ spectrum as well as on- and off-diagonal $TT,EE,BB,TE$ spectrum are induced from anisotropic inflation. We emphasize that the off-diagonal spectrum induced by the cross correlation could be a characteristic signature of anisotropic inflation.

5 pages, 2 figures;(v2) references added;(v3) replaced with the version accepted by MNRAS Letters

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• No-go theorem for inflation in Ricci-inverse gravity
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• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Statistical Anisotropies in Gravitational Waves in Solid Inflation
• Formalizing Anisotropic Inflation in Modified Gravity
• Characterising cosmic birefringence in the presence of galactic foregrounds and instrumental systematic effects
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• Anisotropic constant-roll inflation for the Dirac-Born-Infeld model
• Gravitational wave trispectrum in the axion-SU(2) model
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Anisotropy in Inflation with Non-minimal Coupling
• Warm inflation with non-comoving scalar field and radiation fluid
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• Finslerian dipolar modulation of the CMB power spectra at scales $2<l<600$
• Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
• Scalar-Tensor Anti-Cross-Correlation does not Help to Reconcile the Tension between BICEP2 and Planck
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity
• Statistically-Anisotropic Tensor Bispectrum from Inflation
• Anisotropic Power-law Inflation: A counter example to the cosmic no-hair conjecture
• Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field
• CMB statistical anisotropies of classical and quantum origins
• Anisotropic power-law inflation for a generalized model of two scalar and two vector fields
• Scalar-tensor mixing from icosahedral inflation
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Primordial black holes with anisotropic hair
• Power-law Bianchi type I inflation with multiple vector fields