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

Valeriia Stolbova

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arXiv · 2312.02083

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

Valeriia Stolbova

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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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Valeriia Stolbova. 2023-12-04. Celestial amplitudes dual to the O(N) nonlinear sigma model. https://arxiv.org/abs/2312.02083

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