2024/02/14 by Prahar Mitra, Mitra, Prahar · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Historical Astronomy and Related Studies #History and Developments in Astronomy #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2402.09256
openalex publication_date 2024/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Scattering amplitudes in d+2 dimensions can be recast as correlators of conformal primary operators in a putative holographic CFTd by working in a basis of boost eigenstates instead of momentum eigenstates. It has been shown previously that conformal primary operators with Δ∈ (d)/(2) + i \mathbb R form a basis for massless one-particle representations. In this paper, we consider more general conformal primary operators with Δ∈ \mathbb C and show that completeness, normalizability, and consistency with CPT implies that we must restrict the scaling dimensions to either Δ∈ (d)/(2) + i \mathbb R or Δ∈ \mathbb R. Unlike those with Δ∈ (d)/(2) + i \mathbb R, the conformal primaries with Δ∈ \mathbb R can be constructed without knowledge of the UV and can therefore be defined in effective field theories. With additional analyticity assumptions, we can restrict Δ∈ 2 - \mathbb Z≥0 or Δ∈ (1)/(2)-\mathbb Z≥0 for bosonic or fermionic operators, respectively.