HEP Theory Journal Club

Helicity basis in three dimensional CFT

Yue-Zhou Li

McGill

I am going to show how to play the bootstrap game for conserved spinning operators in CFT₃. Fancy tensor structures are hidden in spinning operators, and we point out the conformal invariant helicity concept in 3d, which allows to construct orthogonal three-point functions in helicity basis. With helicity basis, the OPE data is found to be diagonal for mean-field-theory of conserved currents, and the anomalous dimensions at tree-level could also be bootstrapped using Lorentzian inversion formula. The results match with flat-space gluon amplitudes as the flat-space limit is taken.