A bstract We discuss supersymmetric Yang-Mills theory coupled to dilatons in the framework of celestial holography. show that presence point-like dilaton sources, CCFT operators associated with gauge supermultiplet acquire a simple, factorized form. They factorize into holomorphic (super)current part and exponential “light” Liouville theory, infinite central charge limit. The current sector exh...

A bstract Celestial holography expresses $$ \mathcal{S} S -matrix elements as correlators in a CFT living on the night sky. Poincaré invariance imposes additional selection rules allowed positions of operators. As consequence, n -point are only supported certain patches celestial sphere, depending labeling ea...

A bstract We examine the BCFW recursion relations for celestial amplitudes and how they inform bootstrap program. start by recasting incarnation of shift as a generalization action familiar asymptotic symmetries on hard particles, before focusing two limits: z → ∞ 0. then discuss CFT data encodes large- behavior determining which shifts are allowed, while infinitesimal limit is tied to program ...

We study celestial amplitudes in (super) Yang-Mills theory using a parametrization of the spinor helicity variables where their overall phase is not fixed by little group action. In this approach spin constraint $h\ensuremath{-}\overline{h}=J$ for conformal primaries emerges naturally from new Mellin transform, and action transformations on derived. Applying to $\mathcal{N}=4$ super Yang-Mills,...

We have recently solved the inverse scattering problem for one parameter families of vector fields, and used this result to construct the formal solution of the Cauchy problem for a class of integrable nonlinear partial differential equations connected with the commutation of multidimensional vector fields, like the heavenly equation of Plebanski, the dispersionless Kadomtsev Petviashvili (dKP)...