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

High Energy Physics - Theory 2023-12-05 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2312.02083,
  title  = {Celestial amplitudes dual to the O(N) nonlinear sigma model},
  author = {Valeriia Stolbova},
  journal= {arXiv preprint arXiv:2312.02083},
  year   = {2023}
}

Comments

20 pages

R2 v1 2026-06-28T13:40:38.048Z