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To boost or not to boost, that's the question

Yu Nakayama

Abstract

Or should we talk about dS/CFT correspondence or dS/SFT correspondence in cosmological correlators? In non-unitary field theories -- which are conjectured to be dual to cosmological correlators -- scale invariance does not necessarily imply full conformal invariance. While general relativity predicts the emergence of conformal invariance (or boost symmetry in the bulk), various modified theories of gravity suggest only scale invariance, characterized by the absence of bulk boost symmetry. We demonstrate this distinction using Einstein-Aether theory as a canonical example.

To boost or not to boost, that's the question

Abstract

Or should we talk about dS/CFT correspondence or dS/SFT correspondence in cosmological correlators? In non-unitary field theories -- which are conjectured to be dual to cosmological correlators -- scale invariance does not necessarily imply full conformal invariance. While general relativity predicts the emergence of conformal invariance (or boost symmetry in the bulk), various modified theories of gravity suggest only scale invariance, characterized by the absence of bulk boost symmetry. We demonstrate this distinction using Einstein-Aether theory as a canonical example.
Paper Structure (11 sections, 46 equations)

This paper contains 11 sections, 46 equations.

Table of Contents

  1. Introduction
  2. Einstein-Aether Theory
  3. Action and Equations of Motion
  4. Cosmological Background and Symmetry
  5. Holographic Stress Tensor and Virial Current
  6. Fefferman-Graham Expansions in dS
  7. Hamiltonian Constraint
  8. Two-point functions and power spectrum
  9. Three-point functions and non-Gaussianity
  10. An Example of Scale but Non-Conformal Field Theory
  11. Discussion and Summary