# Jacobi identity or associativity of celestial OPE Jacobi identity of the algebra of [[0009 Soft theorems|soft modes]] puts constraints on the couplings between fields of different spins, as shown in [[2021#Mago, Ren, Srikant, Volovich]]. Later, it was demonstrated to be equivalent to the associativity of [[0114 Celestial OPE|celestial OPE]]. The implications of the constraints that Jacobi identity be satisfied are investigated in [[2022#Ren, Spradlin, Srikant, Volovich]]. ## Refs - [[2021#Mago, Ren, Srikant, Volovich]]: constraints on couplings - [[2022#Ren, Spradlin, Srikant, Volovich]]: some implications - [[2022#Ball]]: equivalence between several different tests of Jacobi identity