Transverse spin in the light-ray OPE

Understand

We study a product of null-integrated local operators $\mathcal{O}_1$ and $\mathcal{O}_2$ on the same null plane in a CFT.

• Such null-integrated operators transform like primaries in a fictitious $d-2$ dimensional CFT in the directions transverse to the null integrals.
• We give a complete description of the OPE in these transverse directions.
• The terms with low transverse spin are light-ray operators with spin $J_1+J_2-1$.