Holographic symmetry algebras for gauge theory and gravity

A bstract All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. complete classification these symmetries their algebras is open problem. Here we construct two towers such from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate associated to tower conformally soft theorems. The current algebra commutators are explicitly derived poles OPE coefficients, found comprise a rich closed subalgebra symmetry algebra.