Celestial Berends-Giele current

TL;DR

This paper develops a celestial version of the Berends-Giele recursion method to compute celestial amplitudes, analyze their operator product expansion behavior, and generalize the sewing procedure on the celestial sphere.

Contribution

It introduces the celestial BG recursion, applies it to examples, studies their OPE behavior, and extends the sewing procedure to celestial amplitudes.

Findings

Celestial BG recursion effectively computes celestial amplitudes.

OPE behavior of celestial BG currents reveals new structural insights.

Generalized sewing procedure enhances amplitude construction on the celestial sphere.

Abstract

Celestial amplitude plays an important role in the understanding of holography. Computing celestial amplitudes by recursion can deepen our understanding of the structure of celestial amplitudes. As an important recursion method, the Berends-Giele (BG) currents on the celestial sphere are worth studying. In this paper, we study the celestial BG recursion and utilize this to calculate some typical examples. We also explore the OPE behavior of celestial BG currents. Moreover, we generalize the "sewing procedure" for BG currents to the celestial case.