Celestial amplitudes dual to the O(N) nonlinear sigma model

2023/12/04 by Valeriia Stolbova, Stolbova, Valeriia
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2312.02083

openalex publication_date 2023/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute celestial amplitudes corresponding to the exact S-matrix of the 2d O(N)-symmetric nonlinear sigma model. Celestial amplitudes for two-dimensional integrable S-matrices simplify to Fourier transforms. Due to the connection between Fourier and Mellin transforms, celestial amplitudes for O(N) model are Mejer G-functions. We also prove crossing symmetry for obtained results and review simplifications for O(3) symmetry case.

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