High Energy Theory Seminar

In four-dimensional asymptotically flat spacetimes, an infinite tower of soft graviton modes generates the symmetry algebra of w(1+infinity) at tree level.  I will first review this construction and identify an explicit form of the w(1+infinity) symmetry generators involving integrals of the stress tensor along null infinity.  Then, I will present an independent derivation of the w(1+infinity) algebra in the light-ray operator algebra of generic 4D conformal field theories.  I will also show that the w(1+infinity) generators in 4D conformal field theories have finite one-point functions in scalar states that are directly related to the tower of soft factors. 

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