The Cosmological CPT Theorem
Harry Goodhew, Ayngaran Thavanesan, Aron C. Wall

TL;DR
This paper explores the cosmological CPT theorem, revealing how certain discrete symmetries imply each other and determining phases of wavefunction coefficients in de Sitter space, impacting holography and quantum field theory.
Contribution
It establishes new non-perturbative reality conditions for cosmological symmetries and shows how the CRT symmetry fixes wavefunction phases without analytic continuation.
Findings
Reflection Reality symmetry can imply unitarity in many theories.
CRT symmetry fixes phases of wavefunction coefficients at future infinity.
Results have implications for de Sitter holography and dual CFTs.
Abstract
The CPT theorem states that a unitary and Lorentz-invariant theory must also be invariant under a discrete symmetry which reverses charge, time, and one spatial direction. In this article, we study a symmetry group, in which two of the nontrivial symmetries (``Reflection Reality'' and a 180 degree rotation) are implied by Unitarity and Lorentz Invariance respectively, while the third is . (In cosmology, Scale Invariance plays the role of Lorentz Invariance.) This naturally leads to converses of the CPT theorem, as any two of the discrete symmetries will imply the third one. Furthermore, in many field theories, the Reflection Reality symmetry is actually sufficient to imply the theory is fully unitary, over a generic range of couplings. Building upon previous work on the Cosmological Optical…
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