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arxiv 1211.5482 v1 pith:FYN4RICF submitted 2012-11-23 hep-th astro-ph.CO

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classification hep-th astro-ph.CO
keywords conformalinflationapproximatelyduringfunctiongrouppointspecial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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During 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Kontorovich-Lebedev-Fourier Space for de Sitter Correlators

    hep-th 2026-04 unverdicted novelty 8.0

    A Kontorovich-Lebedev-Fourier space is built for (d+1)-dimensional de Sitter correlators from the Casimir operator of SO(1,d+1), producing rational propagators and Feynman rules that turn tree and loop diagrams into s...

  2. Beyond Discontinuities: Cosmological WFCs and the Supersymmetric Orthogonal Grassmannian

    hep-th 2026-04 unverdicted novelty 7.0

    N=2 supersymmetry augments the orthogonal Grassmannian formula for wave function coefficients with a kinematic prefactor to capture the full WFC for conserved currents.

  3. Medicine show: A Calogero model with principal series states

    hep-th 2025-07 unverdicted novelty 7.0

    A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.