On the Stress Tensor Light-ray Operator Algebra

Understand

We study correlation functions involving generalized ANEC operators of the form $\int dx^- \left(x^-\right)^{n+2} T_{--}(\vec{x})$ in four dimensions.

• We compute two, three, and four-point functions involving external scalar states in both free and holographic Conformal Field Theories.
• From this information, we extract the algebra of these light-ray operators.
• We find a global subalgebra spanned by $n=\{-2, -1, 0, 1, 2\}$ which annihilate the conformally invariant vacuum and transform among themselves under the action of the collinear conformal group that preserves the light-ray.