Speaker
Lecheng Ren
(Brown University)
Description
In this talk I will discuss several recent studies about soft OPE and algebra in celestial CFT. We first compute the deformation of the $w_{1+\infty}$ algebra of soft graviton, gluon and scalar currents in the Celestial CFT due to non-minimal couplings. We find that the Jacobi identity of the algebra, as well as the associativity of the OPE between these soft current operators, are satisfied only when the spectrum and couplings of the theory obey certain constraints. We also study the effect of these constraints on the amplitudes in the 4d bulk theory. We also determine tree level, all-order celestial operator product expansions (OPEs) of gluons and gravitons in the maximally helicity violating (MHV) sector from inverse soft recursion.
